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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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