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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 1 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. Formulate a linear programming model for this problem. 30. Solve the linear programming model formulated in Problem 28 for the Bluegrass Distillery by using the computer. a. Identify the sensitivity ranges for the objective function coefficients and explain what the upper and lower limits are. b. How much would it be worth to the distillery to obtain additional production capacity? c. If the customer decided to change the blend requirement for its custom-made whiskey to a mix of three parts rye to one part bourbon, how would this change the optimal solution?
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
NASA launches a rocket at seconds. Its height, in meters above sea-level, as a function of time is given by .
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
If the probability of making each shot is 3/4, what is the probability that he will make both shots?
You follow the same pattern for every fourth, fifth locker and so on up to every thousandth locker. Which locker doors will be open when the process is complete?
a sky diver jumping from a plane at a height of 5,000 feet. He will fall 16 feet in the first second. Thereafter, until the parachute opens, the distance fallen during each second will be 32 feet more than the distance fallen during the previous s..
A ball drops from a height of 23 feet. Each time it hits the ground, it bounces up 65 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
A radio transmission tower is 574 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 25o with the ground. How many feet long should the guy wire be?
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
In performing a symetric approximation, you calculate the total system cost $6,725K. The variance is 75625. The POE is $6,475K. What is the proabiility of overruning the POE?
Suppose that in 30 years you want to accumulate a balance of $350,000. You deposit a sum of money into a savings account that earns an APR of 5.5% compounded monthly
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