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F. The furniture company inexpensive tables and chairs. The production process of each is similar in the painting department each table take 4 hours of carpentry and 2 hours in the painting department. Each chair requires 3 hours of carpentry and 1 hour painting department. During the current product period 240 hours of carpentry time are available and 100 hrs in the painting is available. Each table sold yields of profit of $7 and chair produced sold for $5 profit. Find the best combination of table and chairs to manufacture in order to reach the maximum number of profit? 


F. Determine the length of the parametric curve given by the following parametric equations. x=3sin(t) y=3cos(t) 0<t<2π


E. Mr. X is known to hit the target in 4 out of 5 shots, where as Mr. Y is known to hit the target in 3 out of 5 shots. Find the probability that both will hit the Target


Prove that the relation R:{(x,y)|x-y is divisible by 3} is an Equivalence relation.(R is



defined over Z) L2 CO2 10

What and Define crashing of networks in mathematical of foundations of computer science

What and Define Probability and cost considerations in project scheduling in mathematical foundations of computer science

What and Define arrow diagram in mathematical foundations of computer science

Assignment problems in mathematics foundations of computer science

Prove that If A and B are any sets with the property that there is a one-to-one function from A to B and a one-to-one function from B to A, then A and B have the same cardinality.


 Let 8Z be the set of all integers that are multiples of 8. Prove that 8Z has the same cardinality as 3Z, the set of all integers multiples of 3. 


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