1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ipn [44]
3 years ago
11

You are the operations manager of the Spartan Ice Cream Shoppe that produces its own ice cream. You make and sell five flavors;

Vanilla, Chocolate, Pistachio, Banana and Rocky Road. You want to make as much money as you can, of course. The profits per gallon for the five flavors are Vanilla: $90, Chocolate: $75, Pistachio: $70, Banana: $55 and Rocky Road: $40. You can make up to 200 gallons. You have to make at least 10 gallons of each flavor and you cannot make more than 75 gallons of any one flavor. Assume you sell all of the ice cream you make. (a) What is the formula for what you are trying to optimize? (b) What is/are the constraint(s)? (Please answer this question by using the exact sentence mentioned in the question). (c) What is/are the formula(s) for the constraint(s)? (d) What is the solution for this problem? (please use your best logic reasoning)
Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

(a) 90V + 75C + 70P + 55B + 40R

(b) - You can make up to 200 gallons

- You have to make at least 10 gallons of each flavors

- You cannot make more than 75 gallons of any one flavor

(c)V + C + P + B + R ≤ 200

10 ≤ V, C, P, B, R ≤ 75

(d) 75 gallons of Vanilla, 75 gallons of chocolate, 30 gallons of Pistachio, 10 gallons of Banana and 10 gallons of Rocky Road

Step-by-step explanation:

(a)Let V, C, P, B and R be the number of Vanilla, Chocolate, Pistachio, Banana and Rocky Road ice cream gallons you'd plan to make for the Spartan Ice Cream shop. The profit function would be

90V + 75C + 70P + 55B + 40R

And this is the formula that you are trying to optimize.

(b) The constraints are:

- You can make up to 200 gallons

- You have to make at least 10 gallons of each flavors

- You cannot make more than 75 gallons of any one flavor

(c) The constraint formula:

V + C + P + B + R ≤ 200

10 ≤ V, C, P, B, R ≤ 75

(d)  The solutions of this problem is, you would try to make as much as possible of the ones that generate the most profit, while keep an eyes on the constraints. Knowing this, you would

1. Make 10 gallons of each flavors, so a total of 50 gallons. That leaves you with 200 - 50 = 150 gallons left

2. Of the 150 gallons left, you make an extra 65 gallons for Vanilla (so a total of 75 Vanilla gallons). That leaves you with 150 - 65 = 85 gallons

3. Make an extra of another 65 gallons for the 2nd profit generating flavor, which is Chocolate. That leaves you with 85 - 65 = 20 gallons

4. The last 20 gallons can be used to make Pistachio

In the end, you should make: 75 gallons of Vanilla, 75 gallons of chocolate, 30 gallons of Pistachio, 10 gallons of Banana and 10 gallons of Rocky Road

You might be interested in
A spinner is divided into three equal sections labeled 1, 2, and 3. Another spinner is divided into four equal sections labeled
Daniel [21]
9 if your in k12 this is the answer trust me i just took the test
8 0
3 years ago
Read 2 more answers
Joanie watched 1 out of three of a movie in the morning
Archy [21]

Answer:

7/15

Step-by-step explanation:

Determine how much she has watched.

1/3 + 1/5 The common denominator of 3 and 5 is 15. Multiply each fraction by an amount that will make the denominator 15

1/3 = 1*5/(3*5) = 5 / 15

1/5 = 1*3 / (5*3) = 3/15

Now add the two fractions together.

5/15 + 3/15 = 8/15

What is left of the movie? The whole movie = 1 so that which is left is

1 - 8/15

15/15 - 8/15

7 / 15

She has just a bit under 1/2 to go.

8 0
3 years ago
What are the factors of the quadratic function graphed below?
natulia [17]

Answer:

B

Step-by-step explanation:

The zeros of the quadratic occur at x = 0 and x = 6

Thus the factors are x and x - 6

4 0
3 years ago
HELPPPPPP PLEASEEEE HELP HELP
Delvig [45]

Answer:

i believe the answer is 3pi/4

5 0
3 years ago
What is the constant of posprtainality in the equation y=0.41
KATRIN_1 [288]

Answer:

The constant of proportionality in the equation y=0.41 is 0.41

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • In a recent presidential election ohio had 18 electoral votes. This is 20 votes less than texas had. How many electoral votes di
    5·1 answer
  • Riley had $140.00. She gave Austin half of the money. She kept the rest. How much money does she have now?
    13·2 answers
  • THIS IS URGENT I NEED HELP ASAP PLEASE
    8·1 answer
  • What is the slope of (12,22) (-20,19)
    15·1 answer
  • What number should be subtracted from -3/4 to get 5/6?
    6·1 answer
  • Brandon is measuring a crayon with a ruler. First. he gets 3 inches then he measures again and gets 8cm. Why are the lengths dif
    15·1 answer
  • What it the value of m when (2m+8)° and the other angle 24°​
    14·1 answer
  • A cube has volume 1331cm3. Calculate the length of one edge of the cube.
    11·2 answers
  • Graph the equation 4x+8y=16 (pls show ur work)
    10·1 answer
  • Which of the following is equivalent to 23 X^-1/2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!