The Erlanger Manufacturing Company makes Coffee Makers and Irons. The profit e

The Erlanger Manufacturing Company makes Coffee Makers and Irons. The profit estimates are $5 for each coffee maker sold and $10 for each iron. The labor-hour
requirements for the products in the three production departments are department A-coffee makers 0.50 and irons-3.00 B-coffee makers 2.00 and irons 1.00 and
C-coffee makers 0.25 and irons 0.25. The departments production supervisors estimate that the following number of labor-hours will be available during the next
month: 450 hours in department A 350 hours in department B and 50 hours in department C.

a. Develop a linear programming model to maximize profits.

b. Find the optimal solution. How much of each product should be produced and what is the project profit?

c. What are the scheduled production time and slack time (i.e. available time after production) in each department?