QUESTION 6

What should the decision variables be for the problem outlined in part 2?

A. the amount of money to spend on paintings, sculptures, and stained glass

B. the number of paintings to purchase from each source

C. the number of paintings that each source has made available for purchase

D. the price to pay for each painting

QUESTION 7

How many constraints should be used for the problem outlined in part 2?

A. 7

B. 8

C. 3

D. 4

QUESTION 8

What should be the objective for the problem outlined in part 2?

to minimize the total number of paintings purchased

to minimize the total price paid for the paintings

to maximize the total price paid for the paintings

to maximize the total number of paintings purchased

Part 2 With the dcor budget now established, T.J. would now like to plan the art purchases. This category of purchases will include paintings, sculptures, and stained glass. They are currently looking to purchase 12 paintings. Sculptures and stained glass will be dealt with later. Carnations has four sources from whom they can purchase paintings: a local artist, an out of state artist, the state college, and an estate sale. Each of these sources has offered a certain number paintings for sale to Carnations at a fixed price per painting. Carnations can purchase as many or as few of these paintings as they desire from each source, provided that the following conditions are met. To ensure diversity in the collection, the number of paintings purchased from the state college should be no more than the number of paintings purchased from the local artist. Also, the number of paintings purchased from the local artist should be at least as many as the number purchased from the out of state artist. Finally, the number of paintings purchased from the estate sale should be at least as many as the combined number of paintings purchased from the state college and the out of state artist. Because the art budget that was established in part 1 is more than sufficient to purchase the required number of paintings, there is not an upper limit on the amount that Carnations spends on paintings. Instead, Carnations would like to spend as little money as possible on the paintings. The number of paintings available from each source and the per painting prices are shown below. Source # Available Paintings Price Per Painting Local Artist 9 $100 Out of State Artist 7 $75 State College $10 Estate Sale $300 10 8 Part 2 With the dcor budget now established, T.J. would now like to plan the art purchases. This category of purchases will include paintings, sculptures, and stained glass. They are currently looking to purchase 12 paintings. Sculptures and stained glass will be dealt with later. Carnations has four sources from whom they can purchase paintings: a local artist, an out of state artist, the state college, and an estate sale. Each of these sources has offered a certain number paintings for sale to Carnations at a fixed price per painting. Carnations can purchase as many or as few of these paintings as they desire from each source, provided that the following conditions are met. To ensure diversity in the collection, the number of paintings purchased from the state college should be no more than the number of paintings purchased from the local artist. Also, the number of paintings purchased from the local artist should be at least as many as the number purchased from the out of state artist. Finally, the number of paintings purchased from the estate sale should be at least as many as the combined number of paintings purchased from the state college and the out of state artist. Because the art budget that was established in part 1 is more than sufficient to purchase the required number of paintings, there is not an upper limit on the amount that Carnations spends on paintings. Instead, Carnations would like to spend as little money as possible on the paintings. The number of paintings available from each source and the per painting prices are shown below. Source # Available Paintings Price Per Painting Local Artist 9 $100 Out of State Artist 7 $75 State College $10 Estate Sale $300 10 8