| Q1. |
A shop keeper sells 3-shirts at $10 each, 4-hats at $15 each and one pair of shoes
at $20. Find the total cost?.
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| Q2. |
Mr.John's two days expenditure is given below
Saturday : 3kg sugar at $10 each, 4 bannanas at $3 each and one news
paper at $2
Sunday : 1kg sugar at $10 each, 4 bannanas at $3 each and 3 news
paper at $2
Find his total expenditure for two days?
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| Q3. |
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The sum of the digits of a two digit number is 8. The number obtained by
interchanging the two digits exceeds the given number by 36. Find the number by using inverse matrix method?
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| Q4. |
Five years ago, Helen was thrice as old as Gerald. Ten years later, Helen will
be twice as old as Gerald. What is their present ages?
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| Q5. |
A resourceful home decorator manufactures two types of lamps say A and B. Both
lamps go through two technicians, first a cutter, second a finisher. Lamp A
require 2 hours of the cutters time and 1 hour of the finishers time. Lamp B
requires 1 hour of cutters time and 2 horus of finishers time. The cutter has
104 hours and the finisher 76 hours of time avaliable each month. Profit on one
lamp A is $6 and on one lamp B is $11. Assuming that he can sell all that he
produces, how many of each type lamps should he manufacture to obtain the best return?
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| Q6. |
A firm manufactures two types of products A and B and sells them at a profit of
$2 on type A and $3 on type B. Each product is producted on two machines X
and Y. Type A requires 1 minute of processing time on X, and 2 minutes on Y;
type B requires 1 minute on X and 1 minute on Y. The machine X is avaliable
for not more than 6 hours 40 minutes, while machine Y is avaliable for 10 hours
during any working day. Formulate the problem as LPP in order to find how
many products of each type should the firm produce each day so that profit
is maximum?
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