Industrial Designs has been awarded a contract to design a label for a new wine produced by Lake View Winery. The company estimates that 150 hours will be required to complete the project. The firm’s three graphic designers available for assignment to this project are Lisa, a senior designer and team leader; David, a senior designer; and Sarah, a junior designer. Because Lisa has worked on several projects for Lake View Winery, management specified that Lisa must be assigned at least 40% of the total number of hours assigned to the two senior designers. To provide label designing experience for Sarah, the junior designer must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah must not exceed 25% of the total number of hours assigned to the two senior designers. Due to other project commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30 for Lisa, $25 for David, and $18 for Sarah.
- a. Formulate a linear program that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize total cost.
- b. How many hours should be assigned to each graphic designer? What is the total cost?
- c. Suppose Lisa could be assigned more than 50 hours. What effect would this have on the optimal solution? Explain.
- d. If Sarah were not required to work a minimum number of hours on this project, would the optimal solution change? Explain.
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- Industrial Designs has been awarded a contract to design a label for a new wine produced by Lake ViewWinery. The company estimates that 150 hours will be required to complete the project. The firm’s threegraphics designers available for assignment to this project are Lisa, a senior designer and team leader;David, a senior designer; and Sarah, a junior designer. Because Lisa has worked on several projects forLake View Winery, management specified that Lisa must be assigned at least 40% of the total number ofhours assigned to the two senior designers. To provide label-designing experience for Sarah, Sarah must beassigned at least 15% of the total project time. However, the number of hours assigned to Sarah must notexceed 25% of the total number of hours assigned to the two senior designers. Due to other projectcommitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $30for Lisa, $25 for David, and $18 for Sarah.a. Formulate a linear program…arrow_forwardThe Everton College store paid $1564 for an order of 47 calculators. The store paid $8 for each scientific calculator. The others, all graphing calculators, cost the store $52 each. How many of each type of calculator was ordered?arrow_forwardA furniture store expects to sell 120 coffee tables during the next year. It costs $1.50 to store one coffee table for one year. To reorder, there is a fixed cost of $10, plus $2.80 for each coffee table ordered. In what lot size and how many times per year should an order be placed to minimize inventory costs? coffee tables per order orders per yeararrow_forward
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