Your weekly cost (in dollars) to manufacture x televisions and y stereos is C(x, Y) = 24,000 + 30x + 20y + 0.3xy. a) Compute the marginal cost of manufacturing stereos at a production level of 5 televisions and 21 stereos. HINT [See Example 2.] per stereo b) Compute the marginal cost of manufacturing televisions at a production level of 5 televisions and 21 stereos. HINT (See Example 2.] per television Submit Answer

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12. (-17.69 Points]
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updates now or try tonight?
Later
Your weekly cost (in dollars) to manufacture x televisions and y stereos is
C(x, y) = 24,000 + 30x + 20y + 0.3xy.
a) Compute the marginal cost of manufacturing stereos at a production level of 5 televisions and 21 stereos. HINT [See Example 2.]
per stereo
b) Compute the marginal cost of manufacturing televisions at a production level of 5 televisions and 21 stereos. HINT [See Example 2.]
per television
Submit Answer
13. (-7.72 Points]
DETAILS
WANEFMAC7 15.2.064.
MY NOTES
Recall that the compound interest formula for continuous compounding is
A(P, r, t) - Pet,
where A is the future value of an investment of P dollars after t years at an interest rate of r.
aA JA
ap' ar'
(a) Calculate
and A
all evaluated at (90, 0.3, 8). (Round your answers to two decimal places.)
at
JA
ar
at
Interpret your answers.
For a $
investment at
% interest invested for
years and compounded continuously, the accumulated amount is increasing at a rate of $
per
$1 of principal, at a rate of $
per increase of 1 in r, and at a rate of $
per year.
JA
(b) What does the function
of t tell about your investment?
ap
T(90, 0.3, t)
Ap(90, 0.3, t) tells you the rate at which the accumulated amount in an account bearing
% interest, compounded continuously, with a principal of $
, is growing per $1
---Select-- v in the ---Select--
years after the investment.
Transcribed Image Text:12. (-17.69 Points] DETAILS updates now or try tonight? Later Your weekly cost (in dollars) to manufacture x televisions and y stereos is C(x, y) = 24,000 + 30x + 20y + 0.3xy. a) Compute the marginal cost of manufacturing stereos at a production level of 5 televisions and 21 stereos. HINT [See Example 2.] per stereo b) Compute the marginal cost of manufacturing televisions at a production level of 5 televisions and 21 stereos. HINT [See Example 2.] per television Submit Answer 13. (-7.72 Points] DETAILS WANEFMAC7 15.2.064. MY NOTES Recall that the compound interest formula for continuous compounding is A(P, r, t) - Pet, where A is the future value of an investment of P dollars after t years at an interest rate of r. aA JA ap' ar' (a) Calculate and A all evaluated at (90, 0.3, 8). (Round your answers to two decimal places.) at JA ar at Interpret your answers. For a $ investment at % interest invested for years and compounded continuously, the accumulated amount is increasing at a rate of $ per $1 of principal, at a rate of $ per increase of 1 in r, and at a rate of $ per year. JA (b) What does the function of t tell about your investment? ap T(90, 0.3, t) Ap(90, 0.3, t) tells you the rate at which the accumulated amount in an account bearing % interest, compounded continuously, with a principal of $ , is growing per $1 ---Select-- v in the ---Select-- years after the investment.
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