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A salesperson makes $34.75 for selling Model A and $45.67 for selling Model B televisions. The wholesale cost of Model A is $325.25 and the wholesale cost for Model B is $189.75. There is only $3525 budgeted per week to buy them. The cost of a wall mount for each Model A is $18.44 and the cost of a wall mount for each Model B $16.80. The weekly budget for wall mounts is $235.46. Delivery for Model A costs $12.40, and delivery for Model B costs $15.70. The weekly budget for delivery is $198.40. A salesperson must sell at least 8 televisions a week to keep the sales position. How many of Model A and Model B should a salesperson sell to maximize profit and stay within the constraints? Round to the nearest whole unit. Use those results to find the maximum profit. O $577.13 O $615.20 O $678.53 O $692.44 O There is no feasible region. Since all constraints cannot be satisfied at the same time, this problem has no solution.

A salesperson makes $34.75 for selling Model A and $45.67 for selling Model B televisions. The wholesale cost of Model A is $325.25 and the wholesale cost for Model B is $189.75. There is only $3525 budgeted per week to buy them. The cost of a wall mount for each Model A is $18.44 and the cost of a wall mount for each Model B $16.80. The weekly budget for wall mounts is $235.46. Delivery for Model A costs $12.40, and delivery for Model B costs $15.70. The weekly budget for delivery is $198.40. A salesperson must sell at least 8 televisions a week to keep the sales position. How many of Model A and Model B should a salesperson sell to maximize profit and stay within the constraints? Round to the nearest whole unit. Use those results to find the maximum profit. O $577.13 O $615.20 O $678.53 O $692.44 O There is no feasible region. Since all constraints cannot be satisfied at the same time, this problem has no solution.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A salesperson makes $34.75 for selling Model A and $45.67 for selling Model B televisions. The wholesale cost of Model A is $325.25 and the wholesale cost for Model B is $189.75. There is only $3,525 budgeted per week to buy them. The cost of a wall mount for each Model A is $18.44 and the cost of a wall mount for each Model B is $16.80. The weekly budget for wall mounts is $235.46. Delivery for Model A costs $12.40, and delivery for Model B costs $15.70. The weekly budget for delivery is $198.40. A salesperson must sell at least 8 televisions a week to keep the sales position. How many of Model A and Model B should a salesperson sell to maximize profit and stay within the constraints? Round to the nearest whole unit. Use those results to find the maximum profit. - ○ $577.13 - ○ $615.20 - ○ $678.53 - ○ $692.44 - ○ There is no feasible region. Since all constraints cannot be satisfied at the same time, this problem has no solution.
Transcribed Image Text:A salesperson makes $34.75 for selling Model A and $45.67 for selling Model B televisions. The wholesale cost of Model A is $325.25 and the wholesale cost for Model B is $189.75. There is only $3,525 budgeted per week to buy them. The cost of a wall mount for each Model A is $18.44 and the cost of a wall mount for each Model B is $16.80. The weekly budget for wall mounts is $235.46. Delivery for Model A costs $12.40, and delivery for Model B costs $15.70. The weekly budget for delivery is $198.40. A salesperson must sell at least 8 televisions a week to keep the sales position. How many of Model A and Model B should a salesperson sell to maximize profit and stay within the constraints? Round to the nearest whole unit. Use those results to find the maximum profit. - ○ $577.13 - ○ $615.20 - ○ $678.53 - ○ $692.44 - ○ There is no feasible region. Since all constraints cannot be satisfied at the same time, this problem has no solution.
Expert Solution
Step 1

Given:

Selling model:

Model A = $34.75

Model B = $45.67

Wholesale:

Model A = $325.25

Model B = $ 189.75

Wall mount:

Model A = $18.44

Model B = $16.80

Delivery:

Model A = $12.40

Model B = $15.70

 

Now, 

325.25x + 189.75y ≤3525...........(1)18.44x + 16.80y ≤235.46 ............(2)12.40x + 15.70y ≤198.40.............(3)x + y ≥8..................(4)

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