Question

Designer Dolls, Inc., found that the number N of dolls sold varies directly with their advertising budget A and inversely with the price P of each doll. The company sold 1800 dolls when $34,000 was spent on advertising and the price of a doll was set at $25. Determine the number of dolls sold when the amount spent on advertising is increased to $42,000. Round to the nearest whole number.
Answer

A. 877 dolls

B. 710 dolls

C. 2,224 dolls

D. 1,800 dolls

Answer 1

here we are told that

number of dolls sold varies directly with advertising costs

number of dolls varies inversely with price of a doll

so initially

1800 dolls sold when advertising costs were $ 34 000

and price of a doll was $ 25

next they increased the advertising costs to $ 42 000

as we know number of dolls sold varies directly with advertising costs

so here when the advertising costs increase the number of dolls sold too should increases as its directly proportional relationship

we arent told that the price of a doll is changed so there's no effect on the number of dolls sold due to changes in price of a doll

only effect on number of dolls sold is due to increase in advertising costs

increase in advertising cost leads to increase in number of dolls sold

from the given options, only in one option the number of dolls sold are more than 1800 dolls. option is C with 2224 dolls

therefore correct answer is C. 2224 dolls

Answer 2

The number of dolls sold when the advertising is increased to $42,000 is going to be 2,224. The correct answer is C.