Question

A retired couple supplement their income by making fruit pies, which they sell to a local...

A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of June, they produce blueberry and peach pies. The blueberry pies are sold to the grocer for $10.00 and the peach pies are sold for $9.00. The couple is able to sell all of the pies owing to their high quality. They use fresh ingredients. Sugar and flour are bought once a month. The price of sugar per pound is $1.40 and there are roughly 2 cups of sugar in one pound. The price of flour per pound is $0.36 and there are roughly 3.6 cups of flour in one pound. The cost of the fruit needed per pie is the same.

Each blueberry pie requires 1.5 cups of sugar and 3 cups of flour; each peach pie requires 2 cups of sugar and 2.5 cups of flour. On hand are 4 pounds of flour left from the previous month that must be used. There is no shortage of flour, sugar or fruit in the market for them to purchase. The ratio of blueberry pies to peach pies should be at most 4 to 9. The couple working together can make a blueberry pie in 10 minutes and a peach pie in 8 minutes. They plan to work no more than 60 hours during the month of June and do not plan on hiring additional help. Determine the number of blueberry pies and peach pies that will maximize their profit.

Let B = Number of blueberry pies to be baked

Let P = Number of peach pies to be baked

Which of the following is the objective function?

Select one:

a. Max 8.65B + 7.35P

b. Min 1.4S + 0.36F

c. Max 6.82B + 5.3P

d. Max 10B + 9P

e. Min 1.91B + 0.16P

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Selling price of blueberry pies = $ 10.00

Price of sugar = $ 1.4 per pound (2 cups)

Price of flour = $ 0.36 per pound (3.6 cups)

Cost of sugar and flour for each blueberry pie = 1.5*1.4/2+3*0.36/3.6

= $ 1.35

Profit for blueberry pie = Selling price - cost of sugar and flour = 10.00 - 1.35

= $ 8.65 per unit

------------

Selling price of peach pies = $ 9.00

Cost of sugar and flour for each blueberry pie = 2*1.4/2+2.5*0.36/3.6

= $ 1.65

Profit for blueberry pie = Selling price - cost of sugar and flour = 9.00 - 1.65

= $ 7.35 per unit

-------------

Objective of the problem is profit maximization.

Total Profit = Number of blueberry pies to be produced * profit per blueberry pie + Number of peach pies to be produced * profit per peach pie

= 8.65B + 7.35P

Therefore, objective function is: Max 8.65B+7.35P

--------------------------

ANSWER: a. Max 8.65B + 7.35P

Add a comment
Know the answer?
Add Answer to:
A retired couple supplement their income by making fruit pies, which they sell to a local...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A retired couple supplement their income by making fruit pies, which they sell to a local...

    A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of September, they produce apple and grape pies. The apple pies are sold for $1.40 to the grocer, and the grape pies are sold for $1.25. The couple is able to sell all of the pies they produce owing to their high quality. They use fresh ingredients. Flour and sugar are purchased once each month. For the month of...

  • A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of September, they produce apple and grape pies. The apple pies are sold for $...

    A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of September, they produce apple and grape pies. The apple pies are sold for $1.60 to the grocer, and the grape pies are sold for $1.30. The couple is able to sell all of the pies they produce owing to their high quality. They use fresh ingredients. Flour and sugar are purchased once each month. For the month of...

  • Problem 19-5 A retired couple supplement their income by making fruit pies, which they sell to...

    Problem 19-5 A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of September $125. The couple quality. They use fresh ingredients. Flour and sugar are purchased once they produce apple and grape pies. The apple pies are sold for $1.40 to the grocer, and the grape pies is able to sell all of the pies they produce owing to their high each month. For the month of September,...

  • Plz show work if Possible 1. A retired couple supplement their income by making fruit pies,...

    Plz show work if Possible 1. A retired couple supplement their income by making fruit pies, which the sell to a nearby grocery store. The grape pies are sold for $1.50 and the apple pies for $1.20. The couple believes that they can sellall the grape pies they produce but no more than 150 apple pies. They use fresh ingredients. Flour and sugar are purchased once a month. For the month of September, they have 1,300 cups of sugar and...

  • 1. Which of the following is not considered a nutrient a Vitamin B. Water c.Carbohydrate (d)...

    1. Which of the following is not considered a nutrient a Vitamin B. Water c.Carbohydrate (d) Alcohol e Mineral 2. For which of the following causes of death does a person's diet play a part? a. Lung disease (6) Cancer Chronic lower respiratory diseases d. Infections of the blood e AIDS 3. Researchers repeatedly report that people who consume a variety of foods such as fruits, vegetables, legumes, nuts, and whole grains have reduced risks of which of the following...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT