question archive 5) Let the demand function for a product be given by the function D(q)=−1
5) Let the demand function for a product be given by the function D(q)=−1
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5) Let the demand function for a product be given by the function D(q)=−1.9q+200D(q)=-1.9q+200, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $2,000 and variable costs are $5 per item produced. If 52 items are produced and sold, find the following:
A) The total revenue from selling 52 items (to the nearest penny).
Answer: $
B) The total costs to produce 52 items (to the nearest penny).
Answer: $
C) The total profits to produce 52 items (to the nearest penny. Profits may or may not be negative.).
Answer: $
6) Find the area of a triangle bounded by the y axis, the line f(x)=9−3/4x, and the line perpendicular to f(x) that passes through the origin.
Area =
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Step-by-step explanation
(3) D ( q) = - 1.9 9 + 200 Also, Cost of production C (2) : 5x9 + 2000 Now, 9 = 52 item A ) Revenue = ) for 52 units D ( 52 ) = - 1. 9 x 52 + 2004 D ( 52 ) : $ 101. 20 & prin unit Revenue = D ( 529 = 101.2 X 52 Revenue = $ 5262. 40 ( B ) Coot of production ( ( 52 ) = (5x 52) + 2000 C ( 52 ) = $2260
( C) Profit : Revenue - Cost- - 5262. 40 - 2260 Profit : $ 3002. 40 ( 6) 1 ( n) = 9 - 3x A ( 0 , 9 ) I is the shortest distance from true to origin slope of the given n m : - s/W D (0 , 6 ) ( 12, 0) Now , slope of the perpendicular line will be m' = - _ = m Now , equation of this perpendicular I'm ( y = min + b cy = un + b
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