To manufacture x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand chips. Receipts from the sale of x thousand chips amount to $130 per thousand.

a) Write and expression for expenditures
b) Write an expression for receipts
c) For profit to be made, receipts must be greater than expenditures. How many chips must be sold to produce a profit?

Question

To manufacture x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand chips. Receipts from the sale of x thousand chips amount to $130 per thousand.
 
a) Write and expression for expenditures
 b) Write an expression for receipts
 c) For profit to be made, receipts must be greater than expenditures. How many chips must be sold to produce a profit?

john_es · Answer

If x means thousands of chips, then, a)
$$y_1=350+42x$$
b)
$$y_2=130x$$
c)
$$130x−(350+42x)>0⇒x>350/88$$