A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife. A Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The profit is $40 on a Basic Set, $60 on a Regular Set, and $80 on a Deluxe Set. The factory has on hand 1600 utility knives, 800 chef's knives, and 400 slicers. (a) If all sets will be sold, how many of each type should be made up in order to maximize profit? What is the maximum profit? (b) A consultant for the company notes that more profit is made on a Regular Set than on a Basic Set, yet the result from part (a) recommends making up more Basi Sets than Regular Sets. She is puzzled how this can be the best solution. How would you respond? (Uo not include the $ symbol in your answers.) (a) To maximize profit, the company should make up Basic Sets, Regular Sets, and Deluxe Sets. (Simplify your answers.) The maximum profit is $ (Simplify your answer.)
A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife. A Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The profit is $40 on a Basic Set, $60 on a Regular Set, and $80 on a Deluxe Set. The factory has on hand 1600 utility knives, 800 chef's knives, and 400 slicers. (a) If all sets will be sold, how many of each type should be made up in order to maximize profit? What is the maximum profit? (b) A consultant for the company notes that more profit is made on a Regular Set than on a Basic Set, yet the result from part (a) recommends making up more Basi Sets than Regular Sets. She is puzzled how this can be the best solution. How would you respond? (Uo not include the $ symbol in your answers.) (a) To maximize profit, the company should make up Basic Sets, Regular Sets, and Deluxe Sets. (Simplify your answers.) The maximum profit is $ (Simplify your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife. A Regular Set consists of 2 utility knives, 1 chef's knife, and 1
slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The profit is $40 on a Basic Set, $60 on a Regular Set, and $80 on a Deluxe Set. The
factory has on hand 1600 utility knives, 800 chef's knives, and 400 slicers.
(a) If all sets will be sold, how many of each type should be made up in order to maximize profit? What is the maximum profit?
(b) A consultant for the company notes that more profit is made on a Regular Set than on a Basic Set, yet the result from part (a) recommends making up more Basic
Sets than Regular Sets. She is puzzled how this can be the best solution. How would you respond?
(Do not include the $ symbol in your answers.)
(a) To maximize profit, the company should make up
(Simplify your answers.)
Basic Sets,
Regular Sets, and Deluxe Sets.
The maximum profit is $.
(Simplify your answer.)
(b) Choose the correct answer below.
O A. The Ba
Set requires fewer knives. So, fewer Basic Sets can be made up than Regular Sets. This results in higher overall profit.
O B. The overall profit is most affected by the Deluxe Set. The profit generated by the Basic Set and Regular Set does not significantly contribute to the overall
profit.
O C. Since the Regular Set requires more knives, it has higher production costs. This will result in less profit than the Basic Set.
The Racic Set renuirec famer knives So more Racic Sate can ho mado iin than Roular Sate Thie reculte in hinhar warall nenfit
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