Question: I only need the first question Operations Research enjoy! Section 2 Application on Linear Programming 1) Product Mix: A certain plant can manufacture five different

I only need the first question

I only need the first question Operations

Operations Research enjoy! Section 2 Application on Linear Programming 1) Product Mix: A certain plant can manufacture five different products in any combination. Each product requires time on each of three machines in the following manner (figures in minutes/unit): Machine Product 1 A 12 8 5 B 7 9 10 c 8 4 7 D 10 o 3 E 7 11 2 Each machine is available 128 hours per week. Products A, B, C, D and E are purely competitive and any amounts made may be sold at respective prices of $5, $4, $5, $4 and $4. Material costs are $2 for products A and C, while products B, D, and E only cost $1. The manager wants the production of product "A" to be 50% of the number of products produced. Moreover, he wants the production of "D" to be no more than 5% of the total production of "B" and "C". You wish to maximize profit to the firm. 2) Diet Problem: Suppose that we have three foods and two nutritional requirements to satisfy: Food Cost Vitamin A Calories Corn $0.18 107 72 Milk $0.23 500 121 Wheat Bread $0.05 0 65

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