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Solve the problem. 3) Total profit is defined as total revenue minus total cost. R and C are the revenue and cost from the sale of x televisions. If R = 270x -0.8x2 and C = 5000+ 0.7x2, find the profit from the sale of 50 televisions.

Solve the problem. 3) Total profit is defined as total revenue minus total cost. R and C are the revenue and cost from the sale of x televisions. If R = 270x -0.8x2 and C = 5000+ 0.7x2, find the profit from the sale of 50 televisions.

Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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caps lock shift Z X C V B N Solve the problem. 3) Total profit is defined as total revenue minus total cost. R and C are the revenue and cost from the sale of x televisions. If R = 270x - 0.8x2 and C= 5000+ 0.7x2, find the profit from the sale of 50 televisions. M
Transcribed Image Text:caps lock shift Z X C V B N Solve the problem. 3) Total profit is defined as total revenue minus total cost. R and C are the revenue and cost from the sale of x televisions. If R = 270x - 0.8x2 and C= 5000+ 0.7x2, find the profit from the sale of 50 televisions. M
Expert Solution
Step 1: Calculate revenue and cost

Number of televisions sold, x = 50 

The total revenue from sales is 

table row cell R e v e n u e comma space R end cell equals cell 270 x minus 0.8 x squared end cell row blank equals cell left parenthesis 270 cross times 50 right parenthesis minus left parenthesis 0.8 cross times 50 squared right parenthesis end cell row blank equals cell 13 comma 500 minus 2 comma 00 end cell row blank equals cell 11 comma 500 end cell end table


The total costs is 

table row cell T o t a l space cos t s comma space C end cell equals cell 5 comma 000 plus 0.7 x squared end cell row blank equals cell 5 comma 000 plus left parenthesis 0.7 cross times 50 squared right parenthesis end cell row blank equals cell 5 comma 000 plus 1 comma 750 end cell row blank equals cell 6 comma 750 end cell end table

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