Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
-A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 4 sleeping bags, and 3 camp stools for $220. The price of the tent is 7 times the cost of a camp stool. The cost of a sleeping bag is $20 more than the
Cost of a camp stool. Find the cost of each item.
A) $77 for a tent; $30 for a sleeping bag; $11 for a camp stool
B) $70 for a tent; $35 for a sleeping bag; $15 for a camp stool
C) $70 for a tent; $30 for a sleeping bag; $10 for a camp stool
D) $70 for a tent; $30 for a sleeping bag; $11 for a camp stool

Question

Quizplus · Accepted Answer

Let the cost of a camp stool be $x. Then, the cost of a tent is 7x, and the cost of a sleeping bag is x + $20. The total cost for a customer buying a tent, 4 sleeping bags, and 3 camp stools is given by: 7x + 4(x + 20) + 3x = $220. Solving this equation: 14x + 80 = 220, 14x = 140, x = $10. Therefore, the cost of a tent is $70 (7x), the cost of a sleeping bag is $30 (x + 20), and the cost of a camp stool is $10.

Given the Cost Function, C(x), and the Revenue Function, R(x)