The King Trucking Company has an order for three products to be delivered to a d
ID: 444499 • Letter: T
Question
The King Trucking Company has an order for three products to be delivered to a destination. The table below gives the particulars for the products.
Products
Type I
Type II
Type III
Unit Volume
(cu ft)
15
6
18
Unit Weight
(lb)
8
25
36
Unit Value
($)
110
30
160
If the carrier can carry 453 cu ft, 758 lbs., and is insured for $3,350, how many units of each type can be carried? Write down the augmented matrix and the answer.
Type I
Type II
Type III
Unit Volume
(cu ft)
15
6
18
Unit Weight
(lb)
8
25
36
Unit Value
($)
110
30
160
Explanation / Answer
An augmented matrix for a system of equations is a matrix of numbers in which each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign) and each column represents all the coefficients for a single variable.Here the objective is to have matrix of below form :
Thus solving step by step and reducing the matrix we get the maxtrix below :
R3/10
Thus X = 0 Y=29 and Z=25.65 or 26
(0,29,26)
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