Concept explainers
In Exercises 31-34, you are the buyer for OHaganBooks.com and are considering increasing stocks of romance and horror novels at the new OHaganBooks.com warehouse in Texas. You have offers from several publishers: Duffin House, Higgins Press, McPhearson Imprints, and O’Conell Books. Duffin offers a package of 5 horror novels and 5 romance novels for $50, Higgins offers a package of 5 horror and 5 romance novels for $80, McPhearson offers a package of 10 horror novels and 5 romance novels for $80, and O’Conell offers a package of 10 horror novels and 10 romance novels for $90.
Refer to the scenario in Exercise 31. As it turns out, John O’Hagan promised Marjory Duffin that OHaganBooks.com would buy at least 20% more packages from Duffin as from Higgins, but you still want to obtain at least 4,000 horror novels and 6,000 romance novels at minimum cost.
a. Referring to your solution of Exercise 31, say which of the following statements are possible without solving the problem:
(A) The cost will stay the same.
(B) The cost will increase.
(C) The cost will decrease.
(D) It will be impossible to meet all the conditions.
(E) The cost will become unbounded.
b. If you wish to meet all the requirements at minimum cost, how many packages should you purchase from each publisher? What is the minimum cost?
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