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Chapter 3
PROBLEM 3.5
An open conveyor bucket with dimensions on the right triangular cross section of 2h width by h height and L length has a capacity of one cubic foot.
The cost for material is five dollars per square foot and welding is ten dollars
per linear foot. Find the dimensions to produce a minimum cost conveyor
bucket.
PROBLEM 3.6
A toy manufacturer makes two types of plastic boats. The manufacturing
data are as follows:
Production time req.
Process
X
Y
Available time
Molding
10
5 min
80
Sanding and painting
6
6
66
Assembling
5
6
90
Profit per unit
$1.20
$1.00
Find the production rates of the two models which will maximize profit.
PROBLEM 3.7
A container manufacturer produces two types of boxes. The production
requirements are as follows:
Mfg, time required, min per unit
Available capacity per
Machine
Box A
Box B
time period, min.
1
4.0
2,0
2,000
2
3.0
5,0
3,000
Profit per unit
20¢
10¢
Find the production rates for maximum profit.