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Let f(x) be the number (in thousands) of computers sold when the price is x hundred dollars per computer. Interpret the statements 19) = 60
Let f(x) be the number (in thousands) of computers sold when the price is x hundred dollars per computer. Interpret the statements \"19) = 60 and f'(19)= 6. Then estimate the number of computers sold if the price is set at $1925 per computer. OU,UUU UUIIIpUlUIb dlt.' hUIU WIIUII lllt: pIICU lb bb'l dl $LUUU. When the price per computer is $1900, for every $100 price increase, the sales increase by 60,000 computers. x 60.000 computers are sold when the price is set at $190. What does r119) = 6 imply? 19,000 computers are sold when the price is When the price per computer is $1900, for every reduced by $600. $1000 price increase, the sales decrease by 6,000 computers. 6.000 computers are sold when the price is set at V When the price per computer is $1900. for every $1900. $100 price increase, the sales decrease by 6,000 computers. If computers are sold for $1925 per computer, 58000 computers will be sold. When a mutual fund company charges a fee of 0.46% on its index funds, its assets in the fund are $39 billion. When it charges a fee of 0.11%. its assets in the fund are $210 billion. (a) Let x denote the fee that the company charges as a percentage of the index fund and let A(x) denote its assets in the fund. Express A(x) as a linear function of x. (b) One company lowers its fees on various index funds from an average of 0.26% to 0.13%. Let R{x) denote the revenue of the company from fees when its index-fund fee is x%. Compare the revenue of the company before and after lowering the fees. [Hint Revenue is x% of the assets] {c) Find the fee that maximizes the revenue of the company and determine the maximum revenue. (a) Let x denote the fee that the company charges as a percentage of the index fund and let A(x) denote its assets in the fund. Express A(x] as a linear function of x
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