Question

In: Advanced Math

Use duality to answer the following application. The Enormous State University's Business School is buying computers....

Use duality to answer the following application.

The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while 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 49,500 GB of memory and at least 12,500 TB of disk space. If both 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?

_________ Pomegranate(s)
__________iZac(s)



What are the shadow costs of memory and disk space?

memory     $______ per GB
disk space     $________ per TB

Solutions

Expert Solution


Related Solutions

Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle...
Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. A batch of lion food must contain at least 28,800 grams of protein and 43,200 grams of fat. Giraffe meat costs $1 per pound and gazelle meat costs $2 per pound. How many pounds...
Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle...
Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. A batch of lion food must contain at least 28,800 grams of protein and 43,200 grams of fat. Giraffe meat costs $1 per pound and gazelle meat costs $2 per pound. How many pounds...
Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle...
Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 20 grams of protein and 40 grams of fat per pound, while gazelle meat has 40 grams of protein and 20 grams of fat per pound. A batch of lion food must contain at least 52,000 grams of protein and 78,000 grams of fat. Giraffe meat costs $1 per pound and gazelle meat costs $2 per pound. How many pounds...
Suppose a certain state university's college of business obtained the following results on the salaries of...
Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors n1 = 140 n2 = 30 x1 = $48,437 x2 = $55,217 s1 = $19,000 s2 = $10,000 (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the...
Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from...
Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 46% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could...
Central State College (CSC) is a state-supported college with a large business school. The business school...
Central State College (CSC) is a state-supported college with a large business school. The business school offers an undergraduate degree and training programs for a local manufacturer. The state does not support the training programs, which are paid for by the manufacturer under a fixed-price contract. The college president has asked the dean of the business school for a breakdown of costs by program. The president will be meeting with state legislators asking for an increase in support for the...
Use the following information to answer the questions. State of Economy Probability of State Return on...
Use the following information to answer the questions. State of Economy Probability of State Return on Asset d in State Return on Asset e in State Return on Asset f in State Boom 0.38 0.06 0.34 0.16 Normal 0.52 0.06 0.15 0.12 Recession 0.10 0.06 -0.21 -0.09 a. What is the expected return of each asset? b. What is the variance of each asset? c. what is the Standard deviation of each asset?
Use the following information to answer the questions. State of Economy Probability of State Return on...
Use the following information to answer the questions. State of Economy Probability of State Return on Asset d in State Return on Asset e in State Return on Asset f in State Boom 0.32 0.07 0.28 0.16 Normal 0.46 0.07 0.19 0.08 Recession 0.22 0.07 -0.21 -0.07 a. What is the expected return of each asset? b. What is the variance of each asset? c. what is the Standard deviation of each asset?
Use the following table to answer questions 1 - 6: State of Economy Probability of State...
Use the following table to answer questions 1 - 6: State of Economy Probability of State of Economy Asset A Rate of Return Asset B Rate of Return Boom 0.3 0.13 0.08 Normal 0.5 0.06 0.05 Recession 0.2 -0.05 -0.01 What is the expected return for asset A? What is the expected return for asset B? What is the standard deviation for asset A? What is the standard deviation for asset B? What is the expected return of a portfolio...
Use the following information to answer questions 11 – 15. First American is considering buying a...
Use the following information to answer questions 11 – 15. First American is considering buying a new machine to increase production. It will cost $3,000. Shipping will be $300. It has a three-year class life. At the end of one year they plan to sell the machine for $2,000. The new machine will allow FA to increase revenues by $1,800 each year but expenses will increase by $400 each year. If the new machine is purchased, inventory will decrease by...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT