Generally, it is a sound business practice to take advantage of cash discounts. the money saved by paying invoices promptly is free to be used elsewhere. conversely, there is an implicit (opportunity) cost of foregoing a cash discount. by forgoing a cash discount, the small business owner is, in effect, paying an annual interest rate to retain the use of the discounted amount for the remainder of the credit period. For example, assume that Jill anticipates she will receive invoices for $500 from the vendors offering cash discounts of 3/10, net 45.

a) how much will Jill save by paying within the discount period?

b) what will it cost Jill to retain the use of credit for 45 days?

c) what is the annual interest rate of the "loan" (ie. what is the annual rate of 3/10, net 45)?

Jorge is a manager at starbucks. his operational plan includes achieving annual sales of $4,000,000 for his store. with only one month left to end of the fiscal year, jorge realizes that he won't reach his annual sales goal. what are his options?

Minneapolis federal reserve bank economist edward prescott estimates the elasticity of the u. s. labor supply to be 3. given this elasticity, what would be the impact of funding the social security program with tax increases on the number of hours worked and on the amount of taxes collected to fund social security?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.