Question

Matrix F contains the selling prices of a chair, a table, and a stool, respectively. Matrix P contains a purchase order for these items: 4 chairs, 1 table, and 2 stools. Use the matrix calculator to find matrix C, which is the product FP, and is the total cost for the furniture order. What is the value of c11?

a) $123
b) $150
c) $178
d) $225

Answer 1

To find the total cost for the furniture order, perform matrix multiplication between matrices F and P.

Step-by-step explanation:

To find the total cost for the furniture order, we need to perform matrix multiplication between matrices F and P. The resulting matrix C will contain the total cost for each item in the order. In this case, c11 corresponds to the first element in matrix C, which represents the cost of the first item in the order. Let's perform the matrix multiplication:

C = F x P

Matrix F = [price of chair, price of table, price of stool]

Matrix P = [4, 1, 2] (number of chairs, number of tables, number of stools)

Performing the multiplication:

C = [price of chair * 4 + price of table * 1 + price of stool * 2]

Therefore, the value of c11 is the total cost for the chairs in the order.