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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 (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, ∞).