Use the "big M method" (i.e., alternative variables and Ma1 variables) to solve for this maximization problem with mixed constraints. Show all work. A store orders three different kinds of items. The table below shows the requirements of each item.Item Cost Selling Price Storage Space Weight$19$22$13A$100.6 cu m2 kg3 kg4 kgB$120.4 cu mC$80.2 cu mThe manager must abide by the following conditions:a. The order must provide at least 3,700 items.b. The total cost of the order must not exceed $36,000.c. The total storage space available is 1,420 cubic metres.d. The total weight must not exceed 11,400 kilograms.How many of each item of each should be ordered to maximize profit?Hint: Profit is revenue minus cost.

Name: Use the "big M method" (i.e., alternative variables and Ma1 variables)
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Description: Use the "big M method" (i.e., alternative variables and Ma1 variables) to solve for this maximization problem with mixed constraints. Show all work. A store orders three different kinds of items. The table below shows the requirements of each item.It

Step:-1 Let number of items of A, B, C are x1, x2, x3 respectively. As number of items can be zero…

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A store orders three different kinds of items. The table below shows the requirements of each item. Item Cost Selling Price Storage Space Weight 2 kg 3 kg 4 kg $10 $12 $8 $19 $22 $13 А 0.6 cu m B 0.4 cu m 0.2 cu m The manager must abide by the following conditions: a. The order must provide at least 3,700 items.

A store orders three different kinds of items. The table below shows the requirements of each item. Item Cost Selling Price Storage Space Weight 2 kg 3 kg 4 kg $10 $12 $8 $19 $22 $13 А 0.6 cu m B 0.4 cu m 0.2 cu m The manager must abide by the following conditions: a. The order must provide at least 3,700 items.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 4SC: If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c...

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If the cost of each Robust tablet increases to 75 c and the cost of each Vigortab increases to 80 c , find the minimum cost.
A store orders three different kinds of items. The table below shows the requirements of each item. Item Cost Selling Price Storage Space Weight $19 $22 $13 A $10 0.6 cu m 2 kg 3 kg 4 kg B $12 0.4 cu m C $8 0.2 cu m The manager must abide by the following conditions: a. The order must provide at least 3,700 items. b. The total cost of the order must not exceed $36,000. c. The total storage space available is 1,420 cubic metres. d. The total weight must not exceed 11,400 kilograms. How many of each item of each should be ordered to maximize profit? Hint: Profit is revenue minus cost.
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