A manufacturing company produces three products A, B, & c. Each product is made of two raw materials X and Y. One unit of product A require 2units of X and 4units of Y; one unit of product b require 5units of X and 4units of Y; One unit of product C require 1unit of X and 2units of Y. The unit cost of raw materials X and Y are respectively $20 and $30. The product cost per unit are-: A $40, B $50 and C $60. The product sells for $400, $450, and $320 each for A, B and C. The weekly demand for these products are A 500units, B 700units and C 600units.
A)Prepare the following matrices:
1)R;3by2 matrixes of ingredient or raw material requirements.
2)C;2by1 matrix of unit cost of raw materials.
3)P;3by1 matrix of direct production cost per unit for the product.
4)D;1by3 matrixes of weekly demand order.
B)Compute unit requirement for producing each product,using any matrix method only.
C)Identify any other matrix needed and compute profit or weekly contribution to profit for the given order,using matrix methods.
D)Using matrix method, determine raw materials needed to meet this weekly demand.
A manufacturing company produces three products A, B, & c. Each product is made of two raw materials X and Y. One unit of product A require 2units of X and 4units of Y; one unit of product b require 5units of X and 4units of Y; One unit of product C require 1unit of X and 2units of Y. The unit cost of raw materials X and Y are respectively $20 and $30. The product cost per unit are-: A $40, B $50 and C $60. The product sells for $400, $450, and $320 each for A, B and C. The weekly demand for these products are A 500units, B 700units and C 600units.
A)Prepare the following matrices:
1)R;3by2 matrixes of ingredient or raw material requirements.
2)C;2by1 matrix of unit cost of raw materials.
3)P;3by1 matrix of direct production cost per unit for the product.
4)D;1by3 matrixes of weekly demand order.
B)Compute unit requirement for producing each product,using any matrix method only.
C)Identify any other matrix needed and compute profit or weekly contribution to profit for the given order,using matrix methods.
D)Using matrix method, determine raw materials needed to meet this weekly demand.
