Zach makes $750 a week plus commission. This week he had $15,000 in sales, and her commission rate is 5%. He saves $300 of his total weekly pay. He decides to take the $300 that he saves and invests it into a money market account for 10 years at 3% interest. This weekend he went to a concert at the Lakewood Amphitheatre. His company gave him discounted tickets that were 25% off. He paid $15. He wanted to buy a souvenir from the concert, but they were overpriced. A t-shirt cost $50, but the souvenir shop only paid $5 for them. After the concert Zach went to his favorite pizza place and ate a medium New York style pizza. His total before 10% sales tax and a 20% tip was $15.50.

What are the excluded values? m+5/mn+3m

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

Find the value of the variable and the length of each chord for #5 and #6.