A.) Revenue = price * quantity = px = -1/20x^2 + 1060x
R(x) = -1/20x^2 + 1060x.
b.) Profit = Revenue - Cost = R(x) - C(x) = -1/20x^2 + 1060x - 120x - 5000
P(x) = -1/20x^2 + 940x - 5000
c.) For maximum profit, dP/dx = 0
-1/10x + 940 = 0
1/10x = 940
x = 940 * 10 = 9,400
x = 9,400
Maximum profit = P(9400) = -1/20(9400)^2 + 940(9400) - 5000 = $4,413,000
d.) The price to be charged for maximum profit = -1/20(9400) + 1060 = $590
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Answer:
:, Segment subtended by the same angle on two adjacent parallel lines are congruent
Step-by-step explanation:
Statement, Reason
MNOP is a parallelogram:, Given
:, Opposite sides of a parallelogram
∠PMO ≅ ∠MON:, Alternate Int. ∠s Thm.
:, Opposite sides of a parallelogram
∠POM ≅ ∠NMO:, Alternate Int. ∠s Thm.
OM ≅ OM:, Reflexive property
:, Segment subtended by the same angle and on two adjacent parallel lines are congruent
Answer:
Step-by-step explanation:
Switch sides:
Subtract 17 from both sides:
If 20 min = 1 day
1 week = + 10 mins
= 30 mins
6 weeks = 60 mins
1 hour 30 mins = 7 weeks
