Variables: GenA = number of type A generators shipped GenB= number of type B gen
ID: 331631 • Letter: V
Question
Variables:
GenA = number of type A generators shipped
GenB= number of type B generators shipped
3. Patty (see 2.1. above) earns the following profit on each product:
Vase: $1.35
Cup: $0.75
Bowl: $2.40
Using the variable labels given in 2.1, write the profit equation for one of Patty’s days.
Part II: Describing Constraints For each situation, write down the appropriate constraint. Please use the standard symbols"+" and"-" for plus and minus, and " for multiplication; however, if you find the symbols "s' and "2" difficult to keep straight, you may write "LE" for "Less than or equal to," and"GE for Greater than or equal to Example: An office is buying filing cabinets. The Model A cabinet holds a maximum of 3 cubic feet of files. Model B holds a maximum of 4.5 cubic feet of files. At any time, the office will have a maximum of 17 cubic feet of files that need to be stored. (A bit more cabinet space wouldn't be a problem, but not enough would be. The files can't be stacked on the floor.) Write a constraint on the number of cabinets the office should acquire A - number of Model A cabinets purchased B number of Model B cabinets purchased Answer: AT 3 cubic feet) + B"(4.5 cubic feet) 17 cubic feet A 3 cubic feet) B (4.5 cubic feet) GE 17 cubic feet 1. Patty makes pottery in her home studio. She works a total of six hours (360 minutes) per day. It takes her 10 minutes to make a cup, 15 minutes to make a bowl, and 30 minutes to make a vase. Write a constraint governing the joint production of cups, bowls and vases in a day. (Trans: "joint determined together, each affected by the others.) Variables C number of cups made B = number of bowls made V number of vases made 2. An aid agency is buying generators for storm survivors. The generators will be shipped on a convoy of flatbed trucks having a total usable cargo area of 1,350 square feet. Generator A has a footprint (floor space required) of 8 square feet, and Generator B has a footprint of 12 square feet. VWrite a constraint governing the number of generators of each type than can be shippedExplanation / Answer
1. C*(10 minutes)+B*(15 minutes)+V*(30 minutes) LE 360 minutes
2. GenA*(8 square feet)+GenB*(12 square feet) LE 1350 square feet
3. Profit = Profit on each product*number of each product
Profit = $0.75*C + $1.35*V + $2.40*B
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