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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.
Sketch the graph of the solid bounded by Z^2 = X^2 + 4Y^2 and the Plane Z = 1, and hence evaluate its volume by triple integration.
Mrs.perrin,the school music teacher,spent twice as much money on sheet music as she did on cds. The total amount of money that she spent for sheet music and cds was one third of her monthly music budget of $189. How much money did Mrs.perrin spend..
A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)
Given an algebraic series with the following properties:
The Telektronic Company purchases large shipments of fluorescent bulbs and uses this acceptance sampling plan: Randomly select and test 24 bulbs, then accept the whole batch if there is only one or none that doesn't work
find the equation for those products and CPI, & use those equations to predict the average cost of each product for the year 2020.
Based on P(students identifying Picasso painting) from part (a), predict how many of the 300 students would be able to identify a painting by Picasso before the field trip?
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean? What is the quadratic formula? What is it used for? Provide a useful example.
Use this information to construct a 98% confidence interval to estimate the mean number of pages for the population of medium-sized company policy books.
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
A manufacturer of window frames know from long experience that 5 percent of the production will have some type of minor defect tht will require an adjustment. What is the probability that in a sample of 20 window frames
The average SAT math scores M of potential college students can be approximated by M = 1.4t + 518, where t is the number of years since 2004.
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