A manufacturer produces two types of calculators, business calculators and scientific calculators. Each business calculator requires 3 circuit boards and 4 hours of assembly time while the scientific calculator requires 2 circuit boards and 1 hour of assembly time. The profit of each business calculator and scientific calculator are RM 12 and RM 20 respectively. The company produces its own circuit boards and the capacity is 60 per week. Currently the company has 72 hours of assembly time per week. The demand for business calculator is at least 8 units per week. The company wishes to maximize the profit. a) Formulate the problem as a linear programming model. b) Solve the problem graphically. What is the maximum profit?
1. A manufacturer produces two types of calculators, business calculators and scientific calculators. Each business calculator requires 3 circuit boards and 4 hours of assembly time while the scientific calculator requires 2 circuit boards and 1 hour of assembly time. The profit of each business calculator and scientific calculator are RM 12 and RM 20 respectively. The company produces its own circuit boards and the capacity is 60 per
week. Currently the company has 72 hours of assembly time per week. The demand for business calculator is at least 8 units per week. The company wishes to maximize the profit.
a) Formulate the problem as a linear programming model.
b) Solve the problem graphically. What is the maximum profit?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
