SOLUTION: in manufacturing a component for a machine, the initial cost of die is $850 and all other additional costs are $3 per unit produced. (a) Express the total cost C ( in dollars) as a

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Question 795500: in manufacturing a component for a machine, the initial cost of die is $850 and all other additional costs are $3 per unit produced. (a) Express the total cost C ( in dollars) as a linear function of the number q of units produced. (b) How many units are produced if the total cost is $1600
Answer by nerdybill(7384) About Me  (Show Source):
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in manufacturing a component for a machine, the initial cost of die is $850 and all other additional costs are $3 per unit produced.
.
(a) Express the total cost C ( in dollars) as a linear function of the number q of units produced.
"cost" = "$3 per unit" + "start up"
C = 3q + 850
.
(b) How many units are produced if the total cost is $1600
replace C with 1600 and solve for q:
1600 = 3q + 850
750 = 3q
250 units = q