Combinations Application Word Problem

A person has 3 different letters to write, 2 interviews to do, and 2 commercials to review. In making aschedule, (first, second, etc.) how many different combinations are there?

Linear Programming : Formulating Equations and Minimizing Cost

A biologist must make a nutrient for her algae. The nutrient must contain three basic elements D, E, F, and must contain at least 10kg of D, 12kg of E, and 20Kg of F. The nutrient is made from three ingredients, I, II, III. The quantity of D, E, F in one unit of each of the ingredients is given in the following chart. ...continues

Linear Programming : Using the Simplex Method to Minimize C

In this problem I am trying to get rid of the artificial variable using the two phase method. However all of the rows either have negatives or zeros and my final answer keeps coming out to be a negative and none of the other answers plug into the constraints. The problem is Using Simplex method minimize C: ...continues

Linear Programming : Find Maximum Profit by Incorporating the Duality

A brewery manufactures 3 types of beer : lite, regular and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barley, 3 bags of sugar, and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bags of sugar, and 4 bags of hops. Each ...continues

Probability : Distribution and Expected Value

A large sports conference moved to have women compose at least 40% of its athletics within 5 years. Suppose they exactly achieve the 40% figure, and that 5 athletics are picked at random from 10 universities. The number of women is recorded. (a) give a probability distribution (b) find the expected value

Probability : Coin flips - What is the probability that someone is on the committee, but not all six people?

Six people will decide which of them are on a committee by flipping a coin. Each person flips the coin, and is on the committee if he or she gets a head. What is the probability that someone is on the committee, but not all six people?

Probability, Combinations and Permutations : Sampling Without Replacement

A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn. Find the probabilities that the sample contains the following: 2 black balls and 1 green ball

Applications of Derivatives Word Problems : Rate of Change in Speed and Distance

(1) At noon, ship A is 60 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 25 knots. How fast is the distance between the ships changing at 8 PM, in knots? (2) A street light is at the top of a 22 ft tall pole. A woman 12 ft tall walks away from the pole with a speed of 9 f ...continues

Linear Programming: Simplex Method - A couple has $40,000 to invest. As their financial consultant, you recommend they invest some money in treasury bills that yield 6%, some money in corporate ...

A couple has $40,000 to invest. As their financial consultant, you recommend they invest some money in treasury bills that yield 6%, some money in corporate bonds that yield 8%, and some money in junk bonds that yield 10%. A. Prepare a table showing some of the ways this couple can achieve $3,000 per year in income. B. ...continues

Linear Programming : Solving a production costs problem using the Simplex Method.

Cauchy Canners produces canned whole tomatoes and tomato sauce. This season, the company has available 3,000,000 kg of tomatoes for these two products. To meet the demands of customers, it must produce at least 80,000 kg of sauce and 800,000 kg of whole tomatoes. The cost per kg is $4 to produce canned whole tomatoes and $3.2 ...continues