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The Midland Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product 1; 570 units of products 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows:
Product 1 2 3 41 35 41 34 392 40 36 32 433 38 37 33 40
Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste and operating cost. The profit per unit per machine for each product is summarized as follows:
Product 1 2 3 41 $7.8 $7.8 $8.2 $7.92 6.7 8.9 9.2 6.33 8.4 8.1 9.0 5.8
The company wants to know how many units of each product to produce on each machine in order to maximize profit.
a. Solve the model using the computer.
In looking at your business, when and why would you want to use a one-sample mean test (either z or t) or a two-sample t-test? Create a null and alternate hypothesis for one of these issues. How would you use the results?
Incoming crude can be processed by one of three methods. The per barrel yield and per barrel cost of each processing method are shown in the following table.
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Calculate the upward force on the anchorage when the pipeline is flowing full. Calculate the upward force on the anchorage when the pipeline is empty. Assume density of steel is 7900kg/m3 and that of water is 1000kg/m3
What is the 95% confidence interval for the difference in the mean HDL levels between men who exercise regularly and those who do not?
Trapeze Investments is a venture capital firm that is currently evaluating six different investment opportunities. There is not sufficient capital to invest in all of these, but more than one will be selected.
Determine how long it will take the milk to completely drain from the vat - Calculate the length of the proposed section of train track - Find the percentage of customers who have to wait more than 4 minutes.
Changes 4 and 7 are engine block modifications and thus cannot both be selected. Formulate an integer linear programming model to reduce the weight by at least the target amount at the least cost
What is the optimal number of tables the company should produce during the current production cycle?
1.1. Write a program that will find the maxima of the following function using Golden section search algorithm starting from xl = -4 and xu = 1. Your function should take xl , xu, and number of iterations as input parameters. Also plot the graph e..
Write down the joint pmf (as a table) of X and Y . Are X and Y independent and determine the marginal pmf of X and the conditional pmf of Y given X = 1 - Determine the expectations and variances of X and Y.
i. Find the equations of the tangent lines to the circle where x = 4. ii. Find the equation of the normal lines to this circle at the same points.
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