SOLUTION: A company manufactures and sells blank audio cassette tapes. The weekly fixed cost is $8,100 and it costs $0.30 to produce each tape. The selling price is $3.00 per tape. How many
Algebra.Com
Question 971002: A company manufactures and sells blank audio cassette tapes. The weekly fixed cost is $8,100 and it costs $0.30 to produce each tape. The selling price is $3.00 per tape. How many tapes must be produced and sold each week for the company to generate a profit?
a. more than 1,000 but less than 2,000
b. more than 2,000 less than 3,000
c. more than 3,000
d. less than 1,000
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
let the number of tapes = x
Cost is 8100 + (0.30) x, units in dollars.
Revenue is 3x
8100 +0.30 x > 3x (profit is what is requested, not break even)
8100 >2.70 x, subtracting 0.30 x from both sides
divide by 2.70
x > 3000
At 3000 tapes, the cost is 8100 (0.3)*3000=$9000
3000 tapes at $3/tape =$9000
The answer is 3001. or >3000
Both work
It is C.
RELATED QUESTIONS
A company manufactures and sells blank audiocassette tapes. The weekly fixed cost is... (answered by ankor@dixie-net.com)
A company manufactures and sells blank audiocassette tapes. The weekly fixed cost is... (answered by macston)
A cassette tape manufacturer finds that it costs $2790 to make 2000 tapes each day, while (answered by ikleyn,greenestamps,Layyy)
I need to write a linear inequality for:
A company manufactures and sells personalized... (answered by stanbon)
A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to... (answered by stanbon)
a company manufactures and sells bar stools. manufacturing costs consist of a fixed cost... (answered by Boreal)
cynthia bought five blank vhs tapes and four cassette tapes for $28.50.
Charlie bought... (answered by jim_thompson5910)
A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to... (answered by vleith)
Juan received $150 for his birthday. He decided to spend it all on CDs and cassette... (answered by richwmiller)