SOLUTION: the unit cost per gizmo is $30,the fixed cost for making gizmos is $1,200. 60 gizmos must be sold in order to break even.
*Find linear cost function
*Find linear revenue function
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-> SOLUTION: the unit cost per gizmo is $30,the fixed cost for making gizmos is $1,200. 60 gizmos must be sold in order to break even.
*Find linear cost function
*Find linear revenue function
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Question 1174257: the unit cost per gizmo is $30,the fixed cost for making gizmos is $1,200. 60 gizmos must be sold in order to break even.
*Find linear cost function
*Find linear revenue function
*Find linear profit function
Show work with all steps Answer by greenestamps(13200) (Show Source):
The cost function is the fixed cost plus the per-gizmo cost:
C(x) = 1200+30x, where x is the number of gizmos produced.
The cost of producing 60 gizmos is $1200+$30(60) = $3000. To break even when selling 60 gizmos, the selling price per gizmo must be $3000/60 = $50. So the revenue function is
R(x) = 50x
The profit is revenue minus cost:
P(x) = 50x - (1200+30x)
P(x) = 20x - 1200
