A transport company has three types of trucks A, B and C whicha
designed to carry three different sizes of boxes X, Y and Z per le
as shown below:
Boxes
Types of trucks
X
Y
A
2
5
Non
B
3
02
6
C
1
4
Find out by matrix method, the number of trucks of each type the
should be used to carry exactly 17 boxes of size X, 33 boxes of size
and 23 boxes of size Z. (Use Cramer’s rule)
Answer:
Step-by-step explanation:
A cargo plane has three compartments for storing cargo: front, centre and rear. These compartments have the following limits on both weight and space:
Compartment Weight capacity (tonnes) Space capacity (cubic metres)
Front 10 6800
Centre 16 8700
Rear 8 5300
Furthermore, the weight of the cargo in the respective compartments must be the same proportion of that compartment’s weight capacity to maintain the balance of the plane.
The following four cargoes are available for shipment on the next flight:
Cargo Weight (tonnes) Volume (cubic metres/tonne) Profit (£/tonne)
C1 18 480 310
C2 15 650 380
C3 23 580 350
C4 12 390 285