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Mathematics 10 Online
OpenStudy (anonymous):

to produce x units of a religious medal costs C(x)=14x+68 the revenue is R(x)=31x. Both cost and revenue are in dollars a) find the break even quantity$170 b) find the profit from 560 units c) find the number of units that must be produced for a profit of $170

OpenStudy (mathstudent55):

a) set the cost equal to the revenue and solve for x b) profit = revenue - cost = 31x - (14x + 68) evaluate tha above profit expression at x = 560 c) set the profit expression equal to 170 and solve for x

OpenStudy (anonymous):

a)31x=14x+68

OpenStudy (mathstudent55):

Correct. Now solve for x

OpenStudy (anonymous):

$4

OpenStudy (anonymous):

units i mean not $

OpenStudy (mathstudent55):

Right.

OpenStudy (anonymous):

b 9588

OpenStudy (anonymous):

9452

OpenStudy (mathstudent55):

Becareful with parentheses following a negative sign.

OpenStudy (mathstudent55):

Yes, now you have it.

OpenStudy (anonymous):

what do you mean by set the profit expression equal to 170

OpenStudy (mathstudent55):

The profit expression is 31x - (14x + 68) Set that equal to 170 and solve for x

OpenStudy (mathstudent55):

31x - (14x + 68) = 170 Solve for x

OpenStudy (anonymous):

do i distribute my - to the 14x and the 68 making it a -14x and a -68?

OpenStudy (mathstudent55):

Correct

OpenStudy (anonymous):

14

OpenStudy (anonymous):

thank you

OpenStudy (mathstudent55):

Thanks, and great job!

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