Problem specification A farming supply store has three different mixtures of Bluegrass and Rye seeds. The following table describes the proportion of each type of seed in three different seed mixes. Deluxe Mix Standard Mix Economy Mix Bluegrass Rye 0.9 0.7 0.4 0.1 0.3 0.6 The store manager wants to create a new Special mix which will be 0.6 parts bluegrass and 0.4 parts rye. To be physically meaningful to the manager (who is not a financial mathematician) all your solutions should involve only non-negative real numbers. Questions Question 1: How can the manager mix ri units of Deluxe, x2 units of Standard and æ3 units of Economy to create one pound of Special mix? Question 2: Suppose that the cost per pound of the mixes is as follows: Deluxe Mix Standard Mix Economy Mix $8 $10 $4 Find the values of ¤1, 12 and 13 which create the lowest cost of Special mix, and find the cost per pound.
Problem specification A farming supply store has three different mixtures of Bluegrass and Rye seeds. The following table describes the proportion of each type of seed in three different seed mixes. Deluxe Mix Standard Mix Economy Mix Bluegrass Rye 0.9 0.7 0.4 0.1 0.3 0.6 The store manager wants to create a new Special mix which will be 0.6 parts bluegrass and 0.4 parts rye. To be physically meaningful to the manager (who is not a financial mathematician) all your solutions should involve only non-negative real numbers. Questions Question 1: How can the manager mix ri units of Deluxe, x2 units of Standard and æ3 units of Economy to create one pound of Special mix? Question 2: Suppose that the cost per pound of the mixes is as follows: Deluxe Mix Standard Mix Economy Mix $8 $10 $4 Find the values of ¤1, 12 and 13 which create the lowest cost of Special mix, and find the cost per pound.
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:Problem specification
A farming supply store has three different mixtures of Bluegrass and Rye seeds. The following table
describes the proportion of each type of seed in three different seed mixes.
Deluxe Mix Standard Mix Economy Mix
Bluegrass
Rye
0.9
0.7
0.4
0.1
0.3
0.6
The store manager wants to create a new Special mix which will be 0.6 parts bluegrass and 0.4
parts rye. To be physically meaningful to the manager (who is not a financial mathematician) all
your solutions should involve only non-negative real numbers.
Questions
Question 1: How can the manager mix ri units of Deluxe, x2 units of Standard and æ3 units of
Economy to create one pound of Special mix?
Question 2: Suppose that the cost per pound of the mixes is as follows:
Deluxe Mix Standard Mix Economy Mix
$8
$10
$4
Find the values of ¤1, 12 and 13 which create the lowest cost of Special mix, and find the cost
per pound.
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