According to the condition, the number of rods sold as a function of price "p" is


    n(p) = 90 + ,   

or, equivalently,

    n(p) = 90 + 0.5*(200-p).


The revenue R(p)  as the function of price is then the product


    R(p) = p*n(p) = p*(90 + 0.5*(200-p) = p*(90 + 100 - 0.5*p) = -0.5p^2 + 190p.


To generate the revenue of 17600 dollars, the price should satisfy this equation


    R(p) = 17600 dollars,

or, equivalently

    -0.5p^2 + 190p = 17600.


Simplify and solve for p.


    p^2 - 380p + 35200 = 0

     =  = .


ANSWER.  There are two solutions: p= 160  and  p= 220  dollars.

Four (4) $10 price reductions or a $40 reduction, or a reduced price of $160 (200 - 40) will yield sales of 20 (4 * 5) more rods or a total of 110 (90 + 20) rods in order to generate $17,600 in revenue. 

RELATED QUESTIONS

A sporting goods store sells 2 fishing reels, and 4 fishing rods for $362. Later, they... (answered by ewatrrr)

a sporting goods store sells 2 fishing reels and 5 fishing rods for $243. Later , they... (answered by Alan3354)

A sporting goods store sells 2 fishing reels and 4 fishing rods for $184. Later, they... (answered by Boreal)

A sporting goods salesperson sells 2 fishing reels and 5 rods for $290. The next day, the  (answered by richwmiller)

A clothing store sells 140 jackets in a season for $15 each. The manager determined that... (answered by Theo)

A store sells 90 ski jackets for $200 dollars each. A survey indicates that for each $10... (answered by Aldorozos)

A sporting goods salesperson sells 2 fishing reels and 5 rods for $322. The next day, the  (answered by Fombitz)

A sporting goods store sells right-handed baseball gloves.  In one month, 12 gloves were... (answered by Paul)

a community theater currently sells 200 season ticket at $50 each. in order to increase... (answered by ankor@dixie-net.com)