Question
Each flavor is sold in 10 oz. boxes. The table shows RIs profit contribution from each flavor (in $ per box). Flavor Profit per box
Each flavor is sold in 10 oz. boxes. The table shows RIs profit contribution from each flavor (in $ per box).
Flavor Profit per box ($)
O 5.0
B 5.3
RI cannot sell more than 250 boxes of O, and 400 boxes of B. For the coming week, the amounts of the three main ingredients the company has in storage are as follows:
Ingredient Availability
Starch 150lbs
Sugar 130lbs
Fruit juice 15 gallons
The O and B flavors use the following amounts of the main ingredients (per box):
Flavor | Starch (lbs) | Sugar (lbs) | Fruit juice (gallons) |
O | 0.1 | 0.05 | 0.03 |
B | 0.3 | 0.1 | 0.02 |
The company needs to decide how many boxes of each flavor to make to maximize its weekly profit without exceeding the availabilities of the ingredients or the size of the Turkish delight market.
Ortaky | Beyoglu | ||||||
Profit Contribution ($/box) | 5 | 5.3 | Total Profit ($) | ||||
Boxes to Make |
|
|
| ||||
Resource requirements | |||||||
Ortaky | Beyoglu | Required | Available | ||||
Starch | 0.1 | 0.3 | <= | 150 | (lbs) | ||
Sugar | 0.05 | 0.1 | <= | 130 | (lbs) | ||
Fruit Juice | 0.03 | 0.02 | <= | 15 | (gallons) | ||
Maximum Numbers | 250 | 400 |
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