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hram777 [196]
2 years ago
6

Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The l

abor-hour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A 2.00 1.50 3.00 B 2.50 2.00 1.00 C 0.25 0.25 0.25 During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $30 for product 1, $25 for product 2, and $28 for product 3. Formulate a linear programming model for maximizing total profit contribution. If the constant is "1" it must be entered in the box. If required, round your answers to two decimal places. Let Pi = units of product i produced
Business
1 answer:
Serjik [45]2 years ago
8 0

Answer:

Objective function:

Maximize Z: 30P1 + 25P2 + 28P3

Subject to:   2.00P1 + 1.50P2 + 3.00P3 ≤ 450 (Department A constraint)

                    2.50P1  + 2.00P2 + P3       ≤ 350 (Department B constraint)

                    0.25P1  + 0.25P2 + 0.25P3 ≤ 50  (Department C constraint)

                           P1, P2, P3                       ≥  0 (Non-negativity)

Explanation:

The objective function is formulated from the contribution margin of the three products. For instance, the contribution of Product 1 is $30, the contribution of Product 2 is $25 and the contribution of Product 3 is $28. Thus, the objective function will be 30P1 + 25P2 + 28P3.

The constraints were obtained from the departmental labour hours requirements for each product. For instance, Product 1 requires 2 hours in department A, Product 2 requires 1.50 hours in department A and Product 3 requires 3 hours in Department A. Thus, the constraint will be 2.00P1 + 1.50P2 + 3.00P3.

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To begin with, an <em>"expansionary fiscal policy" </em>represents the tool that a government has in order to give response to a recessionary context in where the economy is falling down by decreasing its production. That is why, that in this type of policy the actions that are to be taken comprehends the reduction of taxes that the public sector collects from the private sector and also to increase the public expenditures that the government has with the purpose to estimulate the demand and offer of goods.  

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