Question #15/p280 A manufacturer of plastic chairs makes a regular model and compact model. Each regular model requires 5 hours from the fabricating department and 2 hours from the finishing department. Each compact model requires 4 hours from the fabricating department and 3 hours from the finishing department. The maximum work hours available per week in the fabricating department is 200 while in the finishing department it is 108. If the company makes a profit of P150 on each regular chair and P135 on each compact chair, how many chairs of each type should be manufactured per week to maximize the total profit per week? What is the maximum profit assuming all chairs can be sold? Show complete solution by setting up the LP model 2. Use Desmos to get the graph of the feasible solutions to the system of linear inequalities representing the constraints in the problem. Identify the corner points of the feasible region (Include screen shot of this)
KRMRED The Asker · Other Mathematics
Transcribed Image Text: #15/p280 A manufacturer of plastic chairs makes a regular model and compact model. Each regular model requires 5 hours from the fabricating department and 2 hours from the finishing department. Each compact model requires 4 hours from the fabricating department and 3 hours from the finishing department. The maximum work hours available per week in the fabricating department is 200 while in the finishing department it is 108. If the company makes a profit of P150 on each regular chair and P135 on each compact chair, how many chairs of each type should be manufactured per week to maximize the total profit per week? What is the maximum profit assuming all chairs can be sold? Show complete solution by setting up the LP model 2. Use Desmos to get the graph of the feasible solutions to the system of linear inequalities representing the constraints in the problem. Identify the corner points of the feasible region (Include screen shot of this)
More Transcribed Image Text: #15/p280 A manufacturer of plastic chairs makes a regular model and compact model. Each regular model requires 5 hours from the fabricating department and 2 hours from the finishing department. Each compact model requires 4 hours from the fabricating department and 3 hours from the finishing department. The maximum work hours available per week in the fabricating department is 200 while in the finishing department it is 108. If the company makes a profit of P150 on each regular chair and P135 on each compact chair, how many chairs of each type should be manufactured per week to maximize the total profit per week? What is the maximum profit assuming all chairs can be sold? Show complete solution by setting up the LP model 2. Use Desmos to get the graph of the feasible solutions to the system of linear inequalities representing the constraints in the problem. Identify the corner points of the feasible region (Include screen shot of this)
Community Answer
IEWGLF
We solved this problem by setting a LP model and then solving itgraphically.Let, x units of regular model chairs and yunits of compact model chairs manufactured LP Model: per weck.Objective function" Max Profit "P=150 x+135 ySubject to the constraint(Fabricating department)5x+4y <= 200(Finishing department)2x+3y <= 108.(non-negativity)x,y > 0We solve this LP model graphically.So, the corner points are: (0,0),(0,36),(24,20) ... See the full answer