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Problem: County Credit Union (CCU) has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 7% for home loans, 12% for personal loans, and 9% for automobile loans. The credit union's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans.
Required:
a. Formulate a linear programming model that can be used to determine the amount of funds CCU should allocate to each type of loan in order to maximize the total annual return for the new funds.
16 parts are examined for defects. It is found that 10 are good, 4 have minor defects, and 2 have major defects What is the probability that both are good? What is the probability that exactly one part has a major defect?
Two assets are available for investment.
Let (X, l·l) be a real normed space, E a linear subspace, and h ∈ E t. Give a proof that h can be extended to be a member of X t (the Hahn-Banach the- orem, 6.1.4) based on Theorem 6.2.11. Hint: Let U := {x ∈ X : lx l 1}. (Because of such relation..
the number of calories and the milligrams of cholesterol for a random sample of fast-food chicken sandwiches from seven
in a study on infants one of the characteristics measured was head circumference. the mean head circumference of 14
A particle of mass is fired at an angle θ0 with a velocity in a liquid that develops a drag resistance F = -kv where is a constant. Determine the maximum or terminal speed reached by the particle.
Use these data to test whether there are any significant differences among the three age groups. Use α = .05. SSbetween= ? T2/n - G2/N = 152/3 + 122/3 + 32/3 - 302/9
An aqueous solution that 2.10 M in AgNO3 is slowly added from a buret to an aqueous solution that is 1.50×10-2 M in Cl- and 0.250 M in I-. When the second ion begins to precipitate, what is the remaining concentration of the first ion?
a researcher wants to determine if the average performance on a standardized business management test is significantly
Given that 30% of US adults are smokers, find the average of the random variable X= # of smokers in a random sample of 50 residents of the USA, also find the variance and standard deviation of X.
Find the sample mean for each group. Find the sample standard deviation for each group. Make a dot plot of the data sets A and B on the same line.
Determine the optimal inventory policy when the goods are to be ordered at the end of every month from now on. The cost of bringing the inventory level up to y when x already is available is given by 2(y x).
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