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Linear Programming - Harrington Corporation

The Harrington Corporation manufactures and sells three products: anchor bolts (A), bearings (B), andcasters (C). There are 150 direct labour hours available. Machine hour capacity allows 100 anchor boltsonly; 50 bearings only; 40 casters only; or any combination of the three that does not exceed the capacity.Data associated with the products follow:
Selling Variable Cost Fixed Cost Direct Labour Product Price Per Unit Per Unit Hours Per Unit

A $4.00 $1.00 $2.00 2

B 3.50 0.50 2.00 2

C 6.00 2.00 3.00 3

Required:

a. Develop the objective function to maximize the total contribution margin from Harrington's three products.

b. Develop the direct labour hour constraint.

c. Develop the machine hour constraint

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