Page 80 - Mathematics_Form_3

Linear programming

Exercise 3.2
1. Find a graphical solution of (g)
each of the following linear
programming problems:
FOR ONLINE READING ONLY
(a)
(h)

(b)

2. A lightweight mountain tents
manufacturing company produces
a standard and an expedition
model. Each standard tent requires
(c) Minimize
1 hour of cutting and 3 hours of
assembling. Each expedition tent
requires 2 hours of cutting and 4
hours assembling. The maximum
labour hours available per day in
(d) the cutting department and the
assembling department are 32 and
84, respectively. If the company
makes a profit of Tshs 10,950 on
each standard tent and Tshs 12,750
on each expedition tent, apply the
(e) graphical method to determine the
number of tents of each type that
should be manufactured each day
to maximize the daily profit. Mathematics for Secondary Schools
3. A firm makes two products, P and
(f) 1
P , and has production capacity
2
of 18 tonnes per day. Product P
1
requires a production capacity of 2
tonnes per day, while product P
2
requires a production capacity of
1 tonne per day. Each tonne of P
1

Student\s Book Form Three 73

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MATHEMATIC F3 SB.indd 73