A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 500 GB of memory and 100 TB of disk space and each iNac has 250 GB of memory and 200 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 70000 GB of memory and at least 26000 TB of disk space. If the Pears cost $1000 each and the iNacs cost $1200 each, how many of each computer should they get to minimize cost.

Enormous State University's Business School is buying computers. The school has two models from which to choose, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space; each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation the school would like to be able to say that it has a total of at least 62,000 GB of memory and at least 16,400 TB of disk space. If the Pomegranate and the iZac cost $2,000 each, how many of each should the school buy to keep the cost as low as possible? HINT [See Example 4.] (If an answer does not exist, enter DNE.) Pomegranate computers computers iZac

The Burnaby Spurs youth basketball organization spent $4320 on practice jerseys for all its teams. Twice as much money was spent on rep players as for recreational players, and the most common size was a Youth Large which cost the organization $10. Smaller sizes cost $8 and larger sizes cost $16. For its recreational players it ordered 50 Youth Small and 50 Youth Medium shirts. For its rep players it ordered no Youth Smalls, 10 fewer Youth Medium size shirts, three times as many Youth Large shirts, as well as an equal number of Adult Small and Adult Large shirts. How many players belong to the organization?

A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…