The marginal cost of a product can be thought of as the cost of producing one additional unit of output. for example, if the marginal cost of producing the 50th product is $6.20, it cost $6.20 to increase production from 49 to 50 units of output. suppose the marginal cost c (in dollars) to produce x thousand mp3 players is given by the function c(x)=x^2-140x+8000.
(a). how many players should be produced to minimize the marginal cost?
(b). what is the minimum cost? ?

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The following information is needed to reconcile the cash balance for gourmet catering services. * a deposit of $5,600 is in transit. * outstanding checks total $1,000. * the book balance is $6,400 at february 28, 2019. * the bookkeeper recorded a $1,800 check as $17,200 in payment of the current month's rent. * the bank balance at february 28, 2019 was $17,410. * a deposit of $400 was credited by the bank for $4,000. * a customer's check for $3,300 was returned for nonsufficient funds. * the bank service charge is $90. what was the adjusted book balance?

Bernard made a gift of $500,000 to his brother in 2014. due to bernard’s prior taxable gifts he paid $200,000 of gift tax. when bernard died in 2019, the applicable gift tax credit had increased. at bernard’s death, what amount related to the $500,000 gift to his brother is included in his gross estate?