your answer is correct. You could write it as
x > 10576.92
but it means exactly the same thing.
You need to go back and see what x represents. It is the number of packs of gum. You started out with C(x) < R(X). That is, the cost is less than the revenue. So, as long as you sell more than 10576 packs of gum, you'll make a profit. It takes a lot of sales to overcome that $11000 up-front cost.
I am having a little trouble with my sign here - this is the problem:
A bubble gum company can sell packs of gum for $1.19 each, so the revenue can be calculated using the formula R = 1.19x. The company's total cost consists of a fixed overhead of $11,000 plus 15 cents per pack of gum, so the total cost can be calculated using the formula C = 0.15x + 11000.
1. Write the algebraic inequality needed to indicate that the cost is less than the revenue.
So I wrote
0.15x + 11000 < 1.19x
since C < R and C is .15x + 11000 and R is 1.19x
2. Solve the inequality from the last question and explain what it means.
When I solve I get:
.15x + 11000 < 1.19x
Subtract .15x from both sides to get: 11000 < 1.04x
Divide both sides by 1.04 to get 10576.92 < x
I haven't changed the sign around, but I'm not sure how this relates to cost being less than revenue or really what this even means!
1 answer
1 answer