Helen Holmes makes pottery by hand in her basement. She has 20 hours available each week to make bowls and vases. A bowl requires 3 hours of labor, and a vase requires 2 hours of labor. It requires 2 pounds of special clay to make a bowl and 5 pounds to produce a vase; she is able to acquire 35 pounds of clay per week. Helen sells her bowls for $50 and her vases for $40. She wants to know how many of each item to make each week to maximize her revenue.

a. Formulate an integer programming model for this problem.

b. Solve this model by using the computer. Compare this solution with the solution without inte-ger restrictions and indicate whether the rounded-down solution would have been optimal.

Select the correct answer the smith family adopted a child. the adoption procedure took about three months, and the family incurred various expenses. will the smiths receive and financial benefit for the taxable year? a) they will not receive any financial benefit for adopting the child b) their income tax component will decrease c) they will receive childcare grants d) they will receive a tax credit for the cost borne for adopting the child e) they will receive several tax deductions

The role of the credit department includes: a. evaluating customers' credit applications to determine whether they meet the company's approval standards. b. approving all credit applications in order to avoid losing sales. c. collecting cash from customers. d. following unwritten approval standards for processing customers' credit applications.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.