SOLUTION: Old-Tyme Fashions specializes in hats modelled after fashions from the past. It purchases these hats for $42 each. It can provide a custom service to print the new owner’s name o

Question 1136532: Old-Tyme Fashions specializes in hats modelled after fashions from the past. It purchases these hats for $42 each. It can provide a custom service to print the new owner’s name on the hatband. The printing machine costs $243 per month to rent. If Old-Tyme sells the hats at a price of $69 each, how many does it need to sell to break even?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.

The cost function to make n hats is C(n) = 42*n + 243 dollars. The revenue function is R(n) = 69*n dollars. The break event equation/inequality is R(n) >= C(n), or 69*n >= 243 + 42*n. Simplify and solve for n: (69-42)*n >= 243 27n >= 243 ===============> n >= 243/27 = 9. ANSWER. 9 hats.

Solved.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Each hat costs them $42; they sell them for $69; they make a profit of $27 on each hat.

The number of hats they need to sell to offset the $243 rent is 243/27 = 9.
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