1 4.3 pts Decision alternatives should be identified before decision criteria are established. are limited to quantitative solutions are evaluated as a part of the problem definition stage. are best generated by brain-storming. Flag this Question Question 2 4.3 pts When the value of the output cannot be determined even if the value of the controllable input is known, the model is analog digital stochastic deterministic Question 3 12.9 pts Skip to question text. Whole Foods buys organic beets from two suppliers, one in Ames and one in Zearing. The price per unit of the Ames beets is $4.50 and the price per unit of the Zearing beets is $7.00. Whole Foods buys organic beets from two suppliers, one in Ames and one in Zearing. The profit per unit of the Ames beets is $4.50 and the profit per unit of the Zearing beets is $7.00. A. Define variables that would tell how many units to purchase from each source. B. Develop an objective function that would maximize total profit. C. Whole Foods needs at least 1,000 units of beets. The Ames supplier can supply at least 400 units and the Zearing supplier can supply no more than 900 units. Develop constraints for these conditions. Question 4 12.9 pts Skip to question text. The relationship d = 500 - 10p describes what happens to demand (d) as price (p) varies. Here, price can vary between $2 and $10. A. How many units can be sold at the $2 price? How many can be sold at the $10 price? B. Model the expression for total revenue. C. Consider prices of $4, $6, and $8. Which price alternative will maximize total revenue? What are the values for demand and revenue at this price? Question 5 12.9 pts Skip to question text. Revenue per unit is projected to be $40. There is a fixed cost of $45,000. The variable cost per unit is $15 A. Write an expression for total cost. B. Write an expression for total revenue C. Write an expression for total profit. D. Find the break-even point. Question 6 12.9 pts Skip to question text. A manufacturer makes two products, windows and doors. Each must be processed through two work areas. Work area #1 has 48 hours of available production time. Work area #2 has 60 hours of available production time. Manufacturing of a window requires 2 hours in work area #1 and 4 hours in work area #2. Manufacturing of a door requires 2 hours in work area #1 and 4 hours in work area #2. Profit is $8 per door and $6 per window. A. Define decision variables that will tell how many units to build (doors and windows) B. Develop an objective function that will maximize profits. C. Develop production constraints for work area #1 and #2. Question 7 12.9 pts Skip to question text. To establish a driver education school, organizers must decide how many cars, instructors, and students to have. Costs are estimated as follows. Annual fixed costs to operate the school are $30,000. The annual cost per car is $3000. The cost per instructor is $11,000 and one instructor is needed for each car. Tuition for each student is $350. Let x be the number of cars and y be the number of students. A. Write an expression for total cost. B. Write an expression for total revenue. C. Write an expression for total profit. D. The school offers the course eight times each year. Each time the course is offered, there are two sessions. If they decide to operate five cars, and if four students can be assigned to each car, will they break even? Question 8 4.3 pts In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The intersection of A and B is all new customers. all accounts fewer than 31 or more than 60 days past due. all accounts from new customers and all accounts that are from 31 to 60 days past due. all new customers whose accounts are between 31 and 60 days past due. Question 9 4.3 pts If P(AB) = 0 A and B are independent events. P(A) + P(B) = 1 None of these either P(A) = 0 or P(B) = 0. Flag this Question Question 10 4.3 pts If P(A|B) = .4, then P(B|A) = .6 P(A)*P(B) = .4 P(A) / P(B) = .4 P(B A)/P(B) = .4 Flag this Question Question 11 12.9 pts A package of candy contains 8 brown and 12 red candies. You grab three pieces from the package. Give the sample space of colors you could get. Order is not important. Keyboard Shortcuts p Flag this Question Question 12 17.35 pts Skip to question text. There are two more assignments in a class before its end, and if you get an A on at least one of them, you will get an A for the semester. Your subjective assessment of your performance is Event Probability A on paper and A on exam A on paper only A on exam only A on neither ..25 .35 .30 .10 A. What is the probability of getting an A on the paper? B. What is the probability of getting an A on the exam? C. What is the probability of getting an A in the course? D. Are the grades on the assignments independent? Question 13 12.9 pts Skip to question text. A mail order company tracks the number of returns it receives each day. Information for the last 60 days shows Number of returns Number of days 0-99 100-199 200-299 300 or more 25 9 6 20 A. How many sample points are there? B. List and assign probabilities to sample points. C. What procedure was used to assign these probabilities? Question 14 4.3 pts Super Cola sales breakdown as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men, only 30% of the diet soda is purchased by men. If a woman purchases Super Cola, what is the probability that it is a diet soda? Question 15 4.3 pts It is estimated that 2% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 95% accurate. What is the probability that an athlete who tests positive is actually a user