What is an optimal output plan for the company

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Reference no: EM133282959

Case: Coordinating Advertising and Production (Baker and Powell, 2013). The Hawley Lighting Company manufactures four families of household lighting at its factory. The product families are table lamps, floor lamps, ceiling fixtures, and pendant lamps. The following table shows the average material costs for each of the products:

Product

Table

Floor

Ceiling

Pendant

Material cost

$66

$85

$50

$80

Each product is made in one of two production processes by purchasing components, assembling and testing the product, and, finally, packaging it for shipping. Table lamps and floor lamps go through the assembly and finishing process in Department 1, while ceiling fixtures and chandeliers go through the process in Department 2. Variable production costs and capacities (measured in units of product) are shown in the following table. Note that there are regular and overtime possibilities for each department.

Average selling prices for the four products are known, and estimates have been made of the market demand for each product at these prices. These figures are shown in the following table:

 

Regular Time

 

Overtime

Process

Unit Cost 

Capacity (in units)

Unit Cost

Capacity (in units)

Department 1

16

100000

18

25000

Department 2

12

190000

15

24000

Product

Table

Floor

Ceiling

Pendant

Selling Price

120

150

100

160

Potential sales (000)

60

20

100

35

Advertising Effect

12%

10%

8%

15%

Sales levels can also be affected by advertising expenditures. Starting with the demand levels in the table, an increase of up to $10,000 in advertising raises the demand by the percent shown in the last row. An expenditure of less than $10,000 in advertising will lead to a proportional effect on demand. For example, an increase in advertising of $5,000 for table lamps would raise demand by 6 percent, or 3,600 units. However, there is a budget limit of $18,000 on the total amount to be spent on advertising among all four products. Create a production and advertising plan for this firm that maximizes profit.

Question 1: What is an optimal output plan for the company?

Question 2: For each department, what is the marginal value of additional overtime capacity?

Question 3:  What is the marginal value of additional advertising dollars?

Question 4: What is the marginal value of additional sales for each product?

Reference no: EM133282959

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