Winco sells four types of products. The resources needed to produce one unit of

Question

Winco sells four types of products. The resources needed to produce one unit of each and the sales prices are given in the following table: Resource Product 1 Product 2 Product 3 Product 4 Raw material 2 3 4 7 Hours of labor 3 4 5 6 Sales price ($) 4 6 7 8 Currently 4600 units of raw material and 5000 labor hours are available. To meet customer demands, exactly 950 total units must be produced. Customers also demand that at least 400 units of product 4 be produced. (a) Formulate an LP to maximize total revenue. (b) Convert the LP to standard form. (c) Find the optimal solution using the Simplex algorithm manually.

Explanation / Answer

x y z w Product I II III IV Raw Mat 2 3 4 7 Labour hours 3 4 5 6 Sales price 4 6 7 8 Constraints: 2x+3y+4z+7w  

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