(ii) The total cost of manufacturing x units during the daily production run at a factory, isC(x) = x2 + x + 900 dollars. Usually, x(t) = 25t units are manufactured during thefirst t hours of production.(a) Express the total manufacturing cost as a function of t.(b) How much will have been spent on production by the end of the third hour?(c) When will the total manufacturing cost reach $11,000?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
(ii) The total cost of manufacturing x units during the daily production run at a factory, is
C(x) = x
2 + x + 900 dollars. Usually, x(t) = 25t units are manufactured during the
first t hours of production.
(a) Express the total manufacturing cost as a function of t.
(b) How much will have been spent on production by the end of the third hour?
(c) When will the total manufacturing cost reach $11,000?
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