Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
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Chapter 13, Problem 6P
Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a
where X is the weekly production volume in thousands of units, and TCD(X) is the cost in thousands of dollars. The Hamilton plant’s weekly production costs are given by:
where Y is the weekly production volume in thousands of units, and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 8,000 gloves per week at the lowest possible cost.
- a. Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility.
- b. Solve the optimization model to determine the optimal number of gloves to produce at each facility.
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(b) In various places in this module, data on the silver content of coins
minted in the reign of the twelfth-century Byzantine king Manuel I
Comnenus have been considered. The full dataset is in the Minitab file
coins.mwx. The dataset includes, among others, the values of the
silver content of nine coins from the first coinage (variable Coin1) and
seven from the fourth coinage (variable Coin4) which was produced a
number of years later. (For the purposes of this question, you can
ignore the variables Coin2 and Coin3.) In particular, in Activity 8 and
Exercise 2 of Computer Book B, it was argued that the silver contents
in both the first and the fourth coinages can be assumed to be normally
distributed. The question of interest is whether there were differences in
the silver content of coins minted early and late in Manuel’s reign. You
are about to investigate this question using a two-sample t-interval.
(i) Using Minitab, find either the sample standard deviations of the
two variables…
Homework Let X1, X2, Xn be a random sample from f(x;0) where
f(x; 0) = (-), 0 < x < ∞,0 € R
Using Basu's theorem, show that Y = min{X} and Z =Σ(XY) are indep.
-
Homework Let X1, X2, Xn be a random sample from f(x; 0) where
f(x; 0) = e−(2-0), 0 < x < ∞,0 € R
Using Basu's theorem, show that Y = min{X} and Z =Σ(XY) are indep.
Chapter 13 Solutions
Essentials of Business Analytics (MindTap Course List)
Ch. 13 - GreenLawns provides a lawn fertilizing and weed...Ch. 13 - The Cobb-Douglas production function is a classic...Ch. 13 - Let S represent the amount of steel produced (in...Ch. 13 - The profit function for two products is:...Ch. 13 - Jims Camera shop sells two high-end cameras, the...Ch. 13 - Heller Manufacturing has two production facilities...Ch. 13 - Andalus Furniture Company has two manufacturing...Ch. 13 - Phillips Inc. produces two distinct products, A...
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