The Consumer Product Safety Commission is a government agency that issues rules, orders, and decisions. The Colorado state legis
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Answer:
a) attached below
b) P( profit ) = TR(q) - TC(q)
c) attached below
d) -$5000 ( loss )
Explanation:
Given data:
Fixed Cost = $10,000
Material cost per unit = $0.15
Labor cost per unit = $0.10
Revenue per unit = $0.65
<u>a) Influence diagram to calculate profit </u>
attached below
<u>b) derive a mathematical model for calculating profit.</u>
VC = variable cost per unit , LC = per unit labor cost , MC = per unit marginal cost, TC = Total cost of manufacturing , FC = Fixed cost, q = quantity, TR = Total revenue, R = revenue per unit
VC = LC + MC
TC (q) = FC + ( VC * q )
TR (q) = R * q
P( profit ) = TR(q) - TC(q) ------------ ( 1 )
c) attached below
<u>d) If Cox Electrics makes 12,000 units of the new product </u>
The resulting profit = -$5000
q = 12
P = TR ( q ) - TC ( q )
= ( R * q ) - ( Fc + ( Vc * q ) )
= ( 0.65 * 12000 ) - ( 10,000 + ( 0.25 * 12000 )
= -$5200
