National Business Machines manufactures two models of portable printers: A and B. Each model A costs $120 to make, and each model B costs $140. The profits are $25 for each model A and $40 for each model B portable printer. If the total number of portable printers demanded per month does not exceed 2400 and the company has earmarked not more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits P in dollars? (Let x represent the number of units of model A and y represent the number of units of model B.) Maximize P = $$25x+40y subject to the constraints manufacturing costs number produced Please double check and explain, im very lost
National Business Machines manufactures two models of portable printers: A and B. Each model A costs $120 to make, and each model B costs $140. The profits are $25 for each model A and $40 for each model B portable printer. If the total number of portable printers demanded per month does not exceed 2400 and the company has earmarked not more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits P in dollars? (Let x represent the number of units of model A and y represent the number of units of model B.) Maximize P = $$25x+40y subject to the constraints manufacturing costs number produced Please double check and explain, im very lost
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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National Business Machines manufactures two models of portable printers: A and B. Each model A costs $120 to make, and each model B costs $140. The profits are $25 for each model A and $40 for each model B portable printer. If the total number of portable printers demanded per month does not exceed 2400 and the company has earmarked not more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits P in dollars? (Let x represent the number of units of model A and y represent the number of units of model B.)
| Maximize | P | = |
$$25x+40y
|
subject to the constraints | |
| manufacturing costs |
|
||||
| number produced |
|
Please double check and explain, im very lost
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