Question

Sheet Metal Mill Solution
Weighted # trips x-coord y-coord X multiplied Y multiplied
Rayburn 20. 130. 380. 2,470.
Zavalla 3. 60. 40. 180. 120.
Henderson 5. 70. 100. 350. 500.
Wax MIlls 6. 90. 30. 540. 180.
Total 33. 240. 300. 1,450. 3,270.
Average 60. 75.
Weighted Average 43.9394. 99.0909.

Key Term: Center-of-gravity method

40) A small producer of music boxes wants to move to a larger facility. Two alternative facilities have been found. Site 1 has a fixed cost of $500,000 per year, with a variable cost of $25 per unit. Site 2 has a fixed cost of $800,000 per year, but a variable cost of $22 per unit.

a. Write out the equation for total cost for each site.

b. At what volume of output would the two locations have the same total cost?

c. For what range of output would Site 1 be superior?

d. For what range of output would Site 2 be superior?

Answer: (a) The equation for the total cost at site 1 is TC = 500,000 + 25X, where X is volume. The equation for total cost at Site 2 is TC = 800,000 + 22X. (b) Set these two equations equal and solve for X. 500,000 + 25X = 800,000 + 22X leads to 300,000 = 3X, then to X = 100,000. (c) Site 1 is preferred for volumes up to 100,000 units, and (d) site 2 is preferred above 100,000 units.

Key Term: Locational cost-volume analysis

41) A small manufacturer is considering several locations for a new facility. They have identified four factors that they consider to be important for their location decision. They have decided to assign scores to the four factors, with a higher score indicating a more favorable location. Use the information in the following table to perform a factor rating to select the best location.


Weight Location A Location B Location C
Wages 40 30 75 90
Labor Climate 30 40 70 40
Taxes 15 80 40 90
Utilities 15 75 60 10

Answer: Location B is the preferred location.

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