Applications of Venn Diagram

If n(U)=75, n(A)=40, n(AnB=15 and n(B')=40 find the following. 1. n(AUB)= 2. n(B)= 3. n(A'UB)=

Probability applications of counting principles

The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College. The letters start to fall off of the sign. Find the probability of each of the following events. 1.. The first letter that falls off is "M" . 2. The second letter that falls off is an "A" knowing that the first letter that fell off was a "M"

Linear Programming & the Simplex Methods

A small manufacturing plant produces three kinds of bicycles- three speed, five speeds, and ten speeds - in two factories. Factory A produces 16 three speeds, 12 five speeds, and 30 ten speeds in one day, while factory b produces 15 three speeds, 18 five speeds, and 20 ten speeds in one day. An order is received for 30 three speeds, 40 five speeds, and 50 ten speeds. It costs $1200 a day to operate factory A and $3000 a day to operate factory B. The manufacturer chooses the number of days to operate each factory in order to minimize costs. In the situation above, the variables are: a. x = the total cost to operate factory A y = the total cost to operate factory B b. x = the ... click for more

Linear Programming And Simplex Method

Consider the following linear programming problem: A coffee merchant sells two blends of coffee. Each pound of blend A contains 80% Mocha Java and 20% Jamaican and sells for $2.00 per pound. Each pound blend B contains 35% Mocha Java and 65% Jamaican and sells for $2.25 per pound. The merchant has available 1000 pounds of Mocha Java and 600 pounds of Jamaican. The merchant will try to sell the amount of each blend that maximizes her income. Let x be the number of pounds of blend A and y be the number of pounds of blend B. Since the merchant has available 1000 pounds of Mocha Java, one inequality that must be satisfied is: a. 0.35x + 0.65y > 1000 b. 0.8x + 0.35y < 1000 c... click for more

Linear Programming

A small manufacturing plant produces three kinds of bicycles- three speed, five speeds, and ten speeds - in two factories. Factory A produces 16 three speeds, 12 five speeds, and 30 ten speeds in one day, while factory b produces 15 three speeds, 18 five speeds, and 20 ten speeds in one day. An order is received for 30 three speeds, 40 five speeds, and 50 ten speeds. It costs $1200 a day to operate factory A and $3000 a day to operate factory B. The manufacturer chooses the number of days to operate each factory in order to minimize costs. In the situation above, the variables are: a. x = the total cost to operate factory A y = the total cost to operate factory B b. x = the ... click for more