Answer:
116 units of the first product
380 units of the second product
Step-by-step explanation:
Product 1 has a unit volume of 10 cu ft
Product 2 has a unit volume of 3 cu ft
The truck has 2300 cu ft of space
Product 1 weighs 50 lbs
Product 2 weighs 40 lbs
The truck can carry 21000 lbs
Let X be the units of product 1
Let Y be the units of product 2
The given information can be expressed as:
10X+3Y=2300...(1)
50X+40Y=21000...(2)
Solving the system of equations:
10X+3Y=2300...(1)
10X=2300-3Y
X=(2300-3Y)/10
Substituting X in (2) we have:
50X+40Y=21000
50[(2300-3Y)/10]+40Y=21000
50[(2300/10)-(3Y/10)]+40Y=21000
50[230-(3Y/10)+40Y=21000
11500-(150Y/10)+40Y=21000
11500-15Y+40Y=21000
11500+25Y=21000
25Y=21000-11500
25Y=9500
Y=380
Substituting Y in (1) we have:
10X+3Y=2300...(1)
10X+3(380)=2300
10X+1140=2300
10X=2300-1140
10X=1160
X=116
So 116 units of the first product and 380 units of the second product can be transported in a single shipment with one truck.
