In economics the marginal cost is the cost of producing one more unit. This can be approximated by the gradient of a cost curve. A company produces motorcycle helmets and the daily cost function can be modelled as C(x) = 600+7x-0.0001x¹ for 0≤x≤ 150 where x is the number of motorcycle helmets produced and the cost in US dollars.
A.Write down the daily cost to the company if no helmets are produced.
B.Find an expression for the marginal cost, C'(x), of producing the helmets.
C. Find the marginal cost of producing i)20 helmets and ii)80 helmets.
D.State appropriate units for the marginal cost.
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