The total cost c(x) for the production of an item is the fixedcost (which is constant, regardless of the number of unitsproduced) plus the variable cost (which changes as the number ofunits produced changes).
Let the fixed cost be represented by f(x) = 15 and let thevariable cost be represented by v(x) = 2x2 − 3x +5.
(a) What type of transformation due to f(x) is applied to v(x)to obtain c(x)?
(b) Write the total cost function c(x) in simplest terms.
(c) What are the domain and range of the total cost functionc(x)?
(d) What is the minimum total cost, in dollars? (Hint: It may behelpful to graph the total cost function c(x).)
The total cost c(x) for the production of an item is the fixed cost (which is constant, regardless of the number of unit
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