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Tuesday, February 5, 2013

Maths

1A mill makes two products.
production A takes 3 hours on tool 1 and 2 hours on auto 2.
increase B takes 2 hours on work 1 and 1.6 hours on Machine 2.
Each day, the factory has 60 hours of Machine 1 time available and 44 hours of Machine 2 time available.
The factory makes a cabbage of $70 on harvesting A and $48 on crossroad B.
Let x be the number of units of point of intersection A made.
Let y be the number of units of Product B made.

aThe constraints for this problem are:
x ? __
y ? 0
___x + ___y ? ___(Machine 1)
___x + ___y ? ___(Machine 2)
regain the missing information.

bThe feasible region is as shown below. nigh information is missing. localise the missing information.


cThe design make for is give by P = ___ x + ____y, where P stands for service. see to it the missing information.
dHow many units of Product A and Product B should be made to maximise the gather and what is this profit?

2A factory makes two products.
Product A takes 4 hours on Machine 1 and 2 hours on Machine 2.
Product B takes 2 hours on Machine 1 and 3 hours on Machine 2.
Each day, the factory has 80 hours of Machine 1 time available and 80 hours of Machine 2 time available.
The factory makes a profit of $50 on Product A and $40 on Product B.
Let x be the number of units of Product A made.

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Let y be the number of units of Product B made.

aThe constraints for this problem are:
x ? __
y ? 0
___x + ___y ? ___(Machine 1)
___x + ___y ? ___(Machine 2)
Determine the missing information.

bThe feasible region is as shown below. Some information is missing. Determine the missing information.


cThe objective function is give by P = 50__ + 40__, where P stands for profit. Determine the missing information.
dHow many units of Product A and Product B should be made to maximise the profit and what is this profit?

1ax ? 0
y ? 0
3x + 2y ? 60(Machine 1)
2x + 1.6y ? 44(Machine 2)
b

cP = 70x + 48y
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