An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above

Answers

Answer 1

Answer:

[tex]C = 1000S + 500B[/tex]

Step-by-step explanation:

Given

[tex]S = Banana\ Splits[/tex]

[tex]B=Bacon\ Rolls[/tex]

Reading through the question, we have:

Number of calories per serving:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Let

[tex]x = Cholesterol[/tex]

[tex]y =Sugar[/tex]

So, we have:

Each serving of S

[tex]x \to 1S[/tex]

[tex]y \to 3S[/tex]

Each serving of B

[tex]x \to 4B[/tex]

[tex]y \to 1B[/tex]

Recommendation

[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol

[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

[tex]S + 4B \le 10[/tex]

[tex]3S + B \ge 2[/tex]

[tex]3S + B \le 9[/tex]

Recall that the calories per serving is:

[tex]S \to 1000[/tex]

[tex]B \to 500[/tex]

Hence, the objective function is:

[tex]C = 1000S + 500B[/tex]


Related Questions

HELP PLEASE ANSWER I NEED HELP

Answers

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

What is the PE of an object that is 15kg that is 5.0 M above the ground?

Answers

Answer:

735 J

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

735 J

Hope this helps you

An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?

Answers

Answer:

The airplane starts its descent from an altitude 500 feet higher.

Step-by-step explanation:

Given that:

F(x) = - 200x+20,000

g(x) = -200x+20,500

The functions are written in slope intercept format :

With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :

The slope is -200 ; which means that the descent rate of the airplane is 200

The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.

name the property illustrated. 6 + (4+9) = (6 + 4) + 9

Answers

Answer:

associative property

Step-by-step explanation:

happy to help :)

Answer:

Associative Property

Step-by-step explanation:

The property says you can regroup the three numbers being added.

(a + b) + c = a + (b + c)

Either add a and b first, then add c, ...

or, add b and c first, then add that result to a.

if 2f(x)-3f(1/x)=x^2 determine f(2)

Answers

-7/4
hope this helped

Please help me with this question

Answers

Answer:

If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.

3(g + 4) = 9
Need help

Answers

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Smart People Come Get Yall Juice...

Answers

Answer:.......................

Step-by-step explanation: where is the juice...?

We need help over here y’all

Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!

Answers

Answer:

D

Step-by-step explanation:

They're not similar because the angle lengths are different.


The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%

Answers

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

What is a function?

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

It takes Lauren 13 minutes to walk 1 mile. How many miles can
Lauren walk in 52 minutes?

Answers

Answer:

4

Step-by-step explanation:

if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4

The winner of a raffle will receive a​ 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 ​tickets, what are the odds against your winning the​ boat?

Answers

Answer:

You have a 0.8% chance of winning, and a 99.2% chance of losing

Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)

Answers

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

To model some data, Anne ran a linear regression and found the regression equation to be y=0.554x-0.507.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]y = 0.554x - 0.507[/tex]

The question is incomplete; however, a possible question could be to interpret the given equation.

The equation is given in slope intercept form i.e. [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

So, by comparing:

[tex]y = mx + b[/tex] to [tex]y = 0.554x - 0.507[/tex]

[tex]m = 0.554[/tex]

[tex]b = -0.507[/tex]

Hence, the slope of the regression is 0.554 and the y intercept of -0.507

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

3100

Step-by-step explanation:

V=πr2h

 = 3.14 x [tex]10^{2}[/tex]x10

 = 3100

Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3

Answers

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?

Answers

Answer:

I think after 1.6 s it Will catch the dog

from edgunuity please help asap! image attached above​

Answers

It’s 4 I hope this helps


Explanation I took this in 9th grade so I know how to do this kind of stuff

What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same

Answers

C, They have opposites signs and are reciprocals of each other.

Helpppp asapppp I’ll give you a lot of points

Answers

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

The bike Razi wants to buy costs
$250. He babysat 4 times for a total of 15
hours. He has also mowed the lawn 5 times.
Has he earned enough money to buy the
bike?

Answers

Answer:

Not enough information

Step-by-step explanation:

So, we first know that the bike costs 250 dollars. We also know that he babysat for 15 hours, and mowed the lawn 5 times. However, we do not know how much money he has, or how much he made. Sure, doing extra chores could of made him money, but in this question it doesn't say how much money he made. Therefore, we cannot answer this question because, although we have the value of the bike's cost, we do not know how much Razi has. Hope this helps you!

Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.

Answers

The answer is -5/2, hope this helps you!

i neeeeee helpppp asappppppp

Answers

Answer:

y = 7x + 41

Step-by-step explanation:

the y-intercept appears to be about 40 and the only option with this intercept is the first one

which angle is supplementary to.... asap plz

Answers

Angle CGA supplementary angles add up to 180°

Answer:

Angle AGC

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

PLEASE HELP MEEEEEEE!!!!

Answers

The median is the middle number in a sorted, ascending or descending.

I believe that the answer is A.

I hope this helps!

2,2,4,5,5,6,6,8
Median is 5

If 10 is added
2,2,4,5,5,6,6,8,10
Median is 5

Answer:a

Can anyone please help me to do this with steps

Answers

Hello, I Am BrotherEye

Answer:

I Will Help You!!

But I require More imformation Step-by-step explanation:

Bsmskak the help tie shoes tha ent t this be j294

Pls help with thissss

Answers

10.3 if you divide 43 and 11 you round and get 10.3

What is the area of this kite? A) 20 square meters
B) 36 square meters
C)40 square meters
D) 80 square meters

Answers

Answer:

D

Step-by-step explanation:

Answer:

C. 40 square meters

Step-by-step explanation:

The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.

A = pq/2 {Substitutions made}

A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}

A = 80/2 {Divide 80 by 2 to get 40.}

A = 40 square meters

The area of this kite of 40 square meters, which is C.

Susie begins a new program with 600 m on the first day each day she will increase her walk by 200 m how many kilometres will she walk on day 18 of her program

Answers

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

The price of 7​-minute phone call is ​$.105 What is the price of 18 ​-minute phone​ call?
The price of 18​-minute phone call is ​$

Answers

Answer:

$.27

Step-by-step explanation:

.105/7*18

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