abhijit_sen wrote:

A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of $200 each. For each rise of $4 in the selling price she will sell two less suits each week. If she sells the suits for x dollars each, how many dollars a week will she receive from sales of the suits?

(A) {(x)(x)} / 2

(B) 200 - (x / 2)

(C) 50x + {(x)(x) / 4}

(D) 150x - {(x)(x) / 4}

(E) 200x - {(x)(x) / 4}

OA and explanation to follow later.

If the answer truly is E, could someone explain what I am doing wrong here. I used actual numbers to find an answer since there are variables in the answer choices.

Initial scenario: 100 suits @ $200 / suit =

$20,000 in revenue

Price change: lets say she increased the price by $20 to $220 (

x = 220)---> this an increase of $4 -- 5 times. So for every increase of $4 (which is 5), 2 less suits are sold -->

5 * 2 = 10 less suits sold (for a total of 90 suits)

New revenue calculation: 90 suits @ $220 / suit =

$19,800 in revenue

Now, lets plus in

x (

220) for the answer choices to see which answer gives

$19,800 as the result:

A) (220*220)/2 = $24,200 -->

INCORRECTB) 200-(220/2) = $90 -->

INCORRECTC) 50(220) + {(220*220)/4} = 23,100 -->

INCORRECTD) 150(220) - {(220*220)/4} = 20,900 -->

INCORRECTE) 200*220 - {(220*220)/4} = 31,900 -->

INCORRECTNone of these yield $19,800 ???

I agree with abhijit_sen that E should be 200x - {(x)(x) /

2} ---> which yields $19,800 as the result

_________________

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