Paramount electronics has an annual profit given by p = −100,000 + 5,000q − 0.25q2 dollars, where q is the number of laptop computers it sells each year. the number of laptop computers it can make and sell each year depends on the number n of electrical engineers paramount employs, according to the equation q = 30n + 0.01n2. use the chain rule to find dp dn n = 20 . hint [see example 3.] (round your answer to the nearest whole number.) dp dn n = 20 =

Neveready flashlights inc. needs $317,000 to take a cash discount of 3/15, net 70. a banker will loan the money for 55 days at an interest cost of $13,200. a. what is the effective rate on the bank loan? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) b. how much would it cost (in percentage terms) if the firm did not take the cash discount but paid the bill in 70 days instead of 15 days? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) c. should the firm borrow the money to take the discount? no yes d. if the banker requires a 20 percent compensating balance, how much must the firm borrow to end up with the $317,000? e-1. what would be the effective interest rate in part d if the interest charge for 55 days were $7,200?

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Bakery has bought 250 pounds of muffin dough. they want to make waffles or muffins in half-dozen packs out of it. half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. it take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. how many of each should they make to maximize profit, if they have just 20 hours to do everything?