(c) A storekeeper has 60m' available for storage of two brands of mineral, drink X and Y. The volume of a crate of X is 3m and that of a crate of Y is 2m'. A crate of X costs GHe15, a crate of Y costs GH¢30, and he makes a profit of GH¢5 per crate of either brand. He has GH¢450 to spend on the order of purchases of x crates of X and y crates of Y. (i) Write down all the inequalities involving r and y. (ii) Illustrate graphically the set P satisfying the inequalities. (iii) Find the maximum profit.
(c) A storekeeper has 60m' available for storage of two brands of mineral, drink X and Y. The volume of a crate of X is 3m and that of a crate of Y is 2m'. A crate of X costs GHe15, a crate of Y costs GH¢30, and he makes a profit of GH¢5 per crate of either brand. He has GH¢450 to spend on the order of purchases of x crates of X and y crates of Y. (i) Write down all the inequalities involving r and y. (ii) Illustrate graphically the set P satisfying the inequalities. (iii) Find the maximum profit.
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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![(c) A storekeeper has 60m available for storage of two brands of mineral, drink X and Y. The
volume of a crate of X is 3m' and that of a crate of Y is 2m'. A crate of X costs GH¢15, a crate
of Y costs GH¢30, and he makes a profit of GH¢5 per crate of either brand. He has GH¢450 to
spend on the order of purchases of x crates of X and y crates of Y.
(i) Write down all the inequalities involving xr and y.
(ii) Illustrate graphically the set P satisfying the inequalities.
(iii) Find the maximum profit.
(1 + i)' - 1
=2a + (n-1)d], T, = a+ (n-1)d, VANU,I
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40ac6cb4-8eea-477d-a0ba-04fb16d984de%2Fe7fa5b4c-0b42-465f-a3f2-33d4817c39d3%2Fhp3l3rn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) A storekeeper has 60m available for storage of two brands of mineral, drink X and Y. The
volume of a crate of X is 3m' and that of a crate of Y is 2m'. A crate of X costs GH¢15, a crate
of Y costs GH¢30, and he makes a profit of GH¢5 per crate of either brand. He has GH¢450 to
spend on the order of purchases of x crates of X and y crates of Y.
(i) Write down all the inequalities involving xr and y.
(ii) Illustrate graphically the set P satisfying the inequalities.
(iii) Find the maximum profit.
(1 + i)' - 1
=2a + (n-1)d], T, = a+ (n-1)d, VANU,I
%3D
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