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When a mutual fund company charges a fee of 0.47% on its index funds, its assets in the fund are $45 billion. When it charges

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When a mutual fund company charges a fee of 0.47% on its index funds, its assets in the fund are $45 billion. When it charges a fee of 0.17%, its assets in the fund are $296 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 0.28% to 0.18%. 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. A(x) = - 836.667x + 438.234 (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)purse Home The graph of the following function has one relative extreme point. Find it and determine whether it is a relative Question list K maximum or a relative minimum. signments f (x) = =x2+2x+5 udy Plan Question 1 adebook Question 2 The relative extreme point is Text (Type an ordered pair.) Is the relative extreme point a relative maximum or a relative minimum? apter Contents O Relative maximum ills for Success O Relative minimum ols for Success

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