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The Bluegrass Distillery produces custom blended whiskey. A particular blend consists of rye and bourbon whiskey. The company has received an order for a minimum of 400 gallons of the custom blend. The customer specified that the order must contain at least 40% rye and not more than 250 gallons of bourbon. The customer also specified that the blend should be mixed in the ratio of two parts rye to one part bourbon. The distillery can produce 500 gallons per week regardless of the blend. The production manager wants to complete the order in one week. The blend is sold for $5 per gallon.
The distillery company's cost per gallon is $2 for rye and $1 for bourbon. The company wants to determine the blend mix that will meet customer requirements and maximize profits.
(a)Formulate a linear programming model for this problem. (b)Idicate the slack and surplus available at the optimal solution point and explain their meanings.(C)What Increase in the objective function coefficients in this model would change the optimal solution point? Explain your answer.
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
The J.P. Atkins Company will soon be introducing a new product. Estimates have been made of the monthly profit that would be generated by this product for each of four alternative values of the monthly production rate, as shown below.
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
353 people attend a local play at a private club. members get tickets for $2.75 while non-membrs have to pay $6.50 if the total gate for the play came to $1762.00 how many members and non-members came to the play.
What are the independent and dependent variables?
Describe applications of the Cartesian coordinate system to plot a real-world situation. In your description, indicate the characteristics of each coordinate, and a point in terms of specific x and y coordinates.
A metal storage tank with volume 9π is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
Determine the equation of the rectangular Hyperbola and understand the concept of parabola and to find the coordinates of the vertex of the parabola.
how much energy is needed to increase the temperature of 755 g of iron from 283 k to 403 k.
Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
if the store purchases a product at a wholesale cost of 1.65 and it is sold at 2.20 what is the gross profit percentage.
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