A problem that doesn't make sense- a linear cost function
Please help me, I am getting only negative answers that I think are absolutely wrong. This problem has five parts:
Jill starts a business of manufacturing custom seat cushions for large trucks. She determines that the fixed cost is $1,375 and unit cost is $22. She sells each cushion for $49.95.
A) Find the linear cost function C(x), revenue function R(x) and profit function P(x) assuming x cushion were made and sold.
---for this I was able to make these functions. Please correct me if I'm wrong:
--->C(x)= 49.95x+1375; R(x)= 22x; P(x)=22x-49.95x+1375
B) Find the cost, revenue, and profit if 200 cushions were made and sold.
---> My answers: Cost is $11,365; Revenue is $4,400; and Profit is $-6,965
C) How many cushions must she make and sell in order to attain a profit of $5,000?
---> This is where I find a problem, because using the P(x)=R(x)-C(x)gives me a negative answer.
D) Find the break-even
E) Graph C(x) and R(x)
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