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.

What is the main role of ctsos at the local level? at the local level, the main role of ctsos is to encourage students to become urge them to programs and competitive events.1. a.internsb.traineesc.members2.a.participateb.trainc.win

You have learned that there are many ethical concerns surrounding genetic research, and it's important to be familiar with them. for this project, you will write a persuasive essay about an ethical question in biotechnology. directions the goal of a persuasive essay is to convince people to agree with you. it is important to support your opinion with facts. a persuasive essay is not simply a description of your beliefs. be sure to organize your information, give clear examples, and build your argument carefully. read the following genetics topics below. choose a topic and then decide what side you are on. remember that there is no "right" or "wrong" side. ethical questions often have many points of view. research your topic and write a 400 word persuasive essay. topic 1: should insurance companies have the right to learn the genetic profiles of the people they insure? topic 2: should employers have the right to learn the genetic profiles of the people they hire? are there special considerations for employees in jobs in which there is a high risk to others, such as airline pilots, doctors, or bus drivers? topic 3: should scientists who identify genes and create new genetic engineering techniques have the right to patent their methods for their own profit?

Complete the sentences. upper a decrease in current income taxes the supply of loanable funds today because it a. decreases; increases disposable income, which decreases saving b. has no effect on; doesn't change expected future disposable income c. decreases; decreases expected future disposable income d. increases; increases disposable income, which encourages greater saving upper a decrease in expected future income a. increases the supply of loanable funds today because households with smaller expected future income will save more today b. has no effect on the supply of loanable funds c. decreases the supply of loanable funds because it decreases wealth d. decreases the supply of loanable funds today because households with smaller expected future income will save less today