Bob is a young entrepreneur who recently graduated from UPSA and using three different ingredient (flour, sugar and butter) to produce three different kinds cakes namely Boban, Boapp and Bopine to be supplied to a pastries store at Shoprite. In order to produce a dozen cakes of Boban requires 5g each of flour, sugar and butter. Also, producing Boapp requires 15g each of butter and sugar together with 20g of flour while producing Bopine requires 15g each of sugar and flour, and 20g of butter. In any particular day, the company has a total of 17500g, 16000g and 18500g of butter, sugar and flour available respectively. (a) Write three linear equations and hence form a matrix to represent the above problem (b) Determine the number dozens of cakes of each brand of cakes that should be produced from the available raw materials using matrix inversion

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Bob is a young entrepreneur who recently graduated from UPSA and using three different
ingredient (flour, sugar and butter) to produce three different kinds cakes namely Boban, Boapp
and Bopine to be supplied to a pastries store at Shoprite. In order to produce a dozen cakes of
Boban requires 5g each of flour, sugar and butter. Also, producing Boapp requires 15g each of
butter and sugar together with 20g of flour while producing Bopine requires 15g each of sugar
and flour, and 20g of butter. In any particular day, the company has a total of 17500g, 16000g
and 18500g of butter, sugar and flour available respectively.
(a) Write three linear equations and hence form a matrix to represent the above problem
(b) Determine the number dozens of cakes of each brand of cakes that should be
produced from the available raw materials using matrix inversion

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