Set up the system of equations and then solve it by using inverse matrices. Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. Unit volume (cu ft) Weight (lb) Value ($) Product A 24 40 1,500 units units units Product B 20 30 1,800 Product C 40 60 2,000 (a) If each truck can carry 8,800 cu ft and 13,600 lb and is insured for $582,000, how many units of each product can be carried? Product A Product B Product C (b) If the insured value increases by $56,000, find the new delivery scheme.
Set up the system of equations and then solve it by using inverse matrices. Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. Unit volume (cu ft) Weight (lb) Value ($) Product A 24 40 1,500 units units units Product B 20 30 1,800 Product C 40 60 2,000 (a) If each truck can carry 8,800 cu ft and 13,600 lb and is insured for $582,000, how many units of each product can be carried? Product A Product B Product C (b) If the insured value increases by $56,000, find the new delivery scheme.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Set up the system of equations and then solve it by using inverse matrices.
Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet,
the weight in pounds, and the value for insurance in dollars for a unit of each of the products.
Unit volume (cu ft)
Weight (lb)
Value ($)
Product
A
10
units
units
24
40
1,500
units
Product
B
20
30
1,800
Product
C
40
(a) If each truck can carry 8,800 cu ft and 13,600 lb and is insured for $582,000, how many units of each product can be
carried?
Product A
Product B
Product C
60
2,000
(b)
If the insured value increases by $56,000, find the new delivery scheme.
Product A
units
Product B
units
Product C
units
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