Consider the problem of allocating a fixed quantity of x between four people with single-peaked preferences. Their most preferred amounts are 10, 20, 15 and 30, respectively. For each of the following total quantities, indicate the allocation determined by the Uniform Rule: a. 32 b. 72 c. 86 d. 128

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?