Any math professors or linear programming,I need some help in Industrial Design Class
Hi guys.
I am stuck on a problem in my Industrial Design class. This is the last problem of the semester and I am getting frustrated. I know there are people on here with every area of expertise.
The book is pretty useless.
Can anyone help? Please.......Thanks in advance.
I will post the problem.
1. The following data are for a company that produces washers and dryers.
• Dryers retail for $198 and contribute $15 to profit.
• Washers retail for $499.95 and contribute $45 for profit.
• The washer blade is limited in production capacity to 50 blades, while all other components have no limits.
• Chassis assembly requires 6 person-hours for each dryer set and 18 person-hours for each washer. The plant employs 225 workers for an 8-hour shift to perform chassis assembly operations.
• A dryer requires 1 person-hour on the assembly line, a washer set 1.6 person-hours. There are 30 people on a single 8-hour shift assigned to assembly.
• Final inspection requires 0.5 person-hour for the dryer and 2.0 person-hours for the washer. The plant employs 20 full-time inspectors and one part-time employee for 2 hours per day.
a. Write a linear programming model.
b. What is the optimum number of dryers and washers?
c. Calculate the maximum profit.
d. The linear programming and break-even approaches are used to find the selling price for both the dryer and washer, based on $10,000 fixed cost for both dryer and washer with a variable cost of $160 for the dryer and $330 for the washer. Determine how many days will be required until the company starts making a profit for the washers and dryers. Use $198 and $500 as selling prices for the dryer and the washer, respectively.
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