Question

A toy company manufacture two types of
dolls, A and B. Market tests and available
resources have indicated that the
combined production level should not
exceed 1200 dolls per week and the
demand for doll of type B is at most half
of that for dolls of type A. Further the
production level of dolls of type A can
exceed three times the production of dolls
of other type by at most 600 units. If the
company makes profit of Rs. 12 and Rs.
16 per doll respectively on dolls A and B.
if we suppose that the production of the
number of doll A is x and for doll B is y
then constraints (inequality) of this
problem are x + y = 1200 ; 2y > x;
x - 3y < 600 ; x,y > Oand the
graphical representation is as given
below. Then give the answer of the
following question
v-1200
E
(2)
00
If z is represent the profit of toy company then it is

​

Answer 1

A toy company manufacture two types of

dolls, A and B.

Market tests and available

resources have indicated that the

combined production level should not

exceed 1200 dolls per week and the

demand for doll of type B is at most half

of that for dolls of type A.

Further the production level of dolls of type A can

exceed three times the production of dolls

of other type by at most 600 units. If the

company makes profit of Rs. 12 and Rs.

16 per doll respectively on dolls A and B.

if we suppose that the production of the

number of doll A is x and for doll B is y

then constraints (inequality) of this

problem are x + y = 1200 ; 2y > x;

x - 3y < 600 ; x,y > Oand the

Answer 2

Answer:

x be the no. of dolls A y be the no. of dolls B Maximize Z = 12x + 16 y subject to the constraints (i) x + y < 1200 ABCD is the solution region A (0,0) Z = 0 B (600,0) Z = Rs 7200 C(1050,150) Z = Rs15000 D (800,400) Z = Rs 16000 ∴ Profit is maximum equal to Rs 16000 when 800 balls A and 400 balls B are manufactured if sold.Read more on Sarthaks.com - https://www.sarthaks.com/628726/a-toy-company-manufactures-two-types-of-dolls-a-and-b-market-tests