Set Up the Linear Programming Problem

question 30

Multiple Choice

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 followingconstraints:∙ 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 y = the number of part B produced in a week. Writea system of three inequalities that describes these constraints.

---

Definitions:

Marigold

A genus of annual or perennial, mostly herbaceous plants in the sunflower family, known for their vibrant yellow or orange flowers.

Implicit Cost

The opportunity cost equal to what a firm must give up in order to use resources that it already owns, as opposed to explicit costs that are directly paid.

Future Earnings

Projected income that an entity or individual anticipates receiving over a specified future period, often used in valuation or investment analysis.

Migration

The movement of individuals or groups from one location to another, often in pursuit of better living conditions, job opportunities, or safety.