0.45 0.4 Let U be the 3x2 matrix 0.250.35 . The first column of U lists the cost
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Question
0.45 0.4 Let U be the 3x2 matrix 0.250.35 . The first column of U lists the costs per 0.150.15 dollar of output for manufacturing product B, and the second column lists the costs per dollar of output for manufacturing product C. The first row is the cost of materials, the second row is the cost of labor, and the third row is the cost of overhead. Let q, be a vector in Rthat lists the output (measured in dollars) of products B and C manufactured during the first quarter of the year, and let q2, 43, and q, be the analogous vectors that list the amounts of products B and C manufactured in the second, third, and fourth quarters, respectively. Give an economic desciption of the data in the matrix UQ, where 43 44 Choose the correct answer below. O A. The 4 columns of UQ list the profit made from selling products B and C during the 4 quarters of the year. O B. The 3 rows of UQ list the costs for materials, labor, and overhead used to manufacture products B and C for the year. O C. The 4 columns of UQ list the total costs for materials, labor, and overhead used to manufacture products B and C during the 4 quarters of the year. OD. The 4 columns of UQ list the total number of each product manufactured during the 4 quarters of the year.Explanation / Answer
C. The 4 columns of UQ list the total costs for materials, labor, and overhead used to manufacture products B and C during the 4 quarters of the year.
As, U=[0.45 0.4; 0.25 0.35;0.15 0.15]3x2; Q=[b1 b2 b3 b4 ; c1 c2 c3 c4]2x4 , product of U and Q would give a 3x4 matrix
UQ=[0.45b1+0.4c1 0.45b2+0.4c2 0.45b3+0.4c3 0.45b4+0.4c4 ; 0.25b1+0.35c1 0.25b2+0.35c2 0.25b3+0.35c3 0.25b4+0.35c4 ; 0.15b1+0.15c1 0.15b2+0.15c2 0.15b3+0.15c3 0.15b4+0.15c4]3x4 ,
Thus the matrix UQ represent [(cost of material of B&C in first quarter) (cost of material of B&C in second quarter) (cost of material of B&C in third quarter) (cost of material of B&C in fourth quarter) ; (cost of labour of B&C in first quarter) (cost of labour of B&C in second quarter) (cost of labour of B&C in third quarter) (cost of labour of B&C in fourth quarter) ; (cost of overhead of B&C in first quarter) (cost of overhead of B&C in second quarter) (cost of overhead of B&C in third quarter) (cost of overhead of B&C in fourth quarter)]3x4
Thus, option B goes wrong without mentioning that the 3 rows of UQ list the costs for materials, labor, and overhead used to manufacture products B and C for the year ( but not mentioning the 4 quarters of the year)
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