Set up the linear programming problem.
A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:
∙ Part A requires 1 hour of casting time and 10 hours of firing time.
∙ Part B requires 4 hours of casting time and 3 hours of firing time.
∙ The maximum number of hours per week available for casting and firing are 100 and 70, respectively.
∙ The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.
Let x = the number of part A produced in a week and
number of part B produced in a week. Write a system of three inequalities that describes these constraints.
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