a) If additional quantities of fruit can be purchased, how will the total profit be affected?
a) If additional quantities of fruit can be purchased, how will the total profit be affected?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 106P
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Baskets are sold in 3 sizes: small, medium, and large. They use five types of fruits and have just received the following shipments:
Each basket weighs 1 pound.
| Fruit | Shipment Size (lbs) | Shipment Cost |
| Apple | 6000 | $7,500 |
| Orange | 7500 | $7,125 |
| Banana | 7500 | $6,750 |
| Pear | 6000 | $7,200 |
| Kumquat | 7500 | $7,875 |
| The Small Basket consists of 15% Apples, 25% Orange, 25% Bananas, 10% Pears, and 25% Kumquats. The Medium Basket consists of 20% of each type of fruit, and |
| the Large Basket consists of 25% Apples, 15% Orange, 15% Bananas, 25% Pears, and 20% Kumquats. The orders received so far and the profit margins are as follows: |
| Basket Size | Orders (pounds) | Profit per Basket |
| Small | 10,000 | $16.50 |
| Medium | 3,000 | $20.00 |
| Large | 5,000 | $22.50 |
| The profit per basket does not account for the cost of the fruit used in it. | ||
| All of the orders already received must be satisfied, and any leftover fruit will be donated to the local shelter. |
Help maximize its profit while meeting the existing orders.
| a) If additional quantities of fruit can be purchased, how will the total profit be affected? |
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