Discuss the below:
Q: Imelda manages a shoe factory that makes two types of shoes: casual shoes and dress shoes. The factory can make a total of 1,000 pairs of shoes per day. On any given day, it cannot make more than 800 casual pairs of shoes. Each pair of casual shoes needs 2 units of labor, while each pair of dress shoes needs 3 units of labor. The factory has 2,400 units of labor available daily. Each pair of casual shoes earns a profit of $15, while each pair of dress shoes earns a profit of $20. How many pairs of each type should the factory make each day? (*Through Simplex LP Solver model, the answers for the decision variables are 600 casual shoes and 400 dress shoes)
Option A: She can hire 40 more units of labor daily at the cost of $4.50 per unit.
Option B: She can invest in technology and increase the daily total capacity by 50 pairs of shoes. This investment has a one-time cost of $50,000. Applying a straight line amortization schedule over one year (250 working days), Imelda finds the daily cost of this investment to be $200.
Which option is better?
Suppose labor costs $5 per unit and the new technology has to be amortized over 6 months. What should Imelda do?
Ignoring the questions above, use SolverTable to discuss the effects of extending labor on the Objective function, when each unit of additional daily labor costs $4.50. Include a well-formatted table as Exhibit A. What would be your recommendation to Imelda?
Ignore the questions above. Imelda does not want more than 40% of the produced shoes to be casual shoes. Write down this constraint, so that the resulting model is still linear.