okay, its very length question because you need to analyze many things.

Lets first break down each option.

**1- producing 40 unit of X and 120 unit of Y**40 units of X would consume 40*3= 120 A of total 600 - and 40*6= 240 B of total 880, which will produce a contribution of 40*15= 600 Dollar.

120 Unit of Y would consume 120*6= 720 which is out of the company's ability, therefore, t

**he total contribution produced from this option is 600.**

2- producing 0 units of X and 100 units of Y.

0 units of X would consume nothing, therefore no contribution would be generated from X product.

100 units of Y would consume 100*6=600 A of total 600 - and 100*40 = 400 B of total 880,

**producing total contribution from this option equal to 2500.**

3- producing 146 units of X and 0 units of Y.

146 units of X would consume 146*3 = 438 A of total 600 - and 146*4 = 584 B of total 880.

** producing total contribution from this option equal to 2190.**

4- Producing 120 units if X and 40 units of Y.

120 units of X would consume 120*3= 360 A of total 600 - and 120*4 = 480 B of total 880.

**producing contribution from this product equal to 1800**.

40 units of Y would consume 40*6 = 240 A of total 600 - and 100*4 = 400 of total 880.

**producing contribution from this product equal to 1000.****Total contribution generated from selecting option D = 1800+100=2800 Which is optimum as total contribution and matching company ability to purchase the designated amount. The answer is D - Last selection.**

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Mohamed Shamsaldin

Accountant

Dammam

Saudi Arabia

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Original Message:

Sent: 03-10-2020 07:35 AM

From: Bradley Kilbreth

Subject: Part 2 - Constraint Help

Wiley says to use linear programming..? Is there any easier way to solve these problems about CM per constraint?

The Mix and Match Company has two products, Product X and Product Y, that it manufactures through its production facilities. The contribution margin for Product X is $15 per unit while Product Y's contribution is $25. Each product uses Materials A and B. Product X uses three pounds of Material A while Product Y uses six pounds. Product X requires six feet of Material B and Product Y uses four feet. The company can only purchase 600 pounds of Material A and 880 feet of Material B. The optimum mix of products to manufacture would be:

| 40 units of Product X and 120 units of Product Y. |

| 0 units of Product X and 100 units of Product Y. |

| 146 units of Product X and 0 units of Product Y. |

| 120 units of Product X and 40 units of Product Y. |

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Bradley Kilbreth

Student

Manchester NH

United States

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