Question

The cost to produce x units of wire is C= 55x + 450, while the revenue is R= 80x. Find all intervals where the product will at least break even.

Answer 1

Answer:

The interval where the product will at least break even is given by x ≥ 10.

In interval notation the interval will be denoted by [10, ∞).

Step-by-step explanation:

i) the cost to produce x units of wire is C = 55x + 450

ii) the Revenue is R = 80x

iii) therefore the product will at least break even when

    the cost, C   = the Revenue, R.

 therefore 55x + 450 = 80x   $\Rightarrow$  (80 - 35)x  = 45x = 450    ∴x = 450 / 45 = 10.

iv) The interval where the product will at least break even is given by x ≥

    10.

   In interval notation the interval will be denoted by [10, ∞).