A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop. The supplier demands that at least 150 of these laptops be sold each month. Experience shows that most consumers prefer all-purpose laptops, but some younger consumers prefer gaming laptops. The result is that the mumber of all-purpose laptops sold is at least twice the number of gaming laptops sold. The store pays its sales staff a $82.90 commission for each all-purpOse laptop sold and a $49.64 commission for each gaming laptop sold. How many of each type of laptop should be sold to minimize commission? You are not being asked to solve this problem completely! Only do the parts as outlined below, You do not have to determine the number of each type of laptop that minimizes commission, (a) What is the objective? (b) Define the variables to use to solve this problem. (e) Write the objective function using the variables you defined in part (b). (d) Write the constraints of the problem.
A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop. The supplier demands that at least 150 of these laptops be sold each month. Experience shows that most consumers prefer all-purpose laptops, but some younger consumers prefer gaming laptops. The result is that the mumber of all-purpose laptops sold is at least twice the number of gaming laptops sold. The store pays its sales staff a $82.90 commission for each all-purpOse laptop sold and a $49.64 commission for each gaming laptop sold. How many of each type of laptop should be sold to minimize commission? You are not being asked to solve this problem completely! Only do the parts as outlined below, You do not have to determine the number of each type of laptop that minimizes commission, (a) What is the objective? (b) Define the variables to use to solve this problem. (e) Write the objective function using the variables you defined in part (b). (d) Write the constraints of the problem.
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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Transcribed Image Text:6. A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop.
The supplier demands that at least 150 of these laptops be sold each month. Experience
shows that most consumers prefer all-purpose laptops, but some younger consumers
prefer gaming laptops. The result is that the mumber of all-purpose laptops sold is at
least twice the number of gaming laptops sold. The store pays its sales staff a $82.90
commission for each all-purpose laptop sold and a $49.64 commision for each gaming
laptop sold. How many of each type of laptop shoukd be sold to minimize commission?
You are not being asked to solve this problem completely! Only do the parts as outlined
below, You do not have to determine the number of each type of laptop that minimizes
commission.
(a) What is the objective?
(b) Define the variables to use to solve this problem.
(c) Write the objective function using the variables you defined in part (b).
(d) Write the constraints of the problem.
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