The prerequisite for a required course is that students must have taken either course a or course
b. by the time they are juniors, 52% of the students have taken course a, 26 % have had course b, and 11% have done both. a) what percent of the juniors are ineligible for the course? b) what's the probability that a junior who has taken course a has also taken course b? c) are taking these two courses disjoint events? explain. d) are taking these two courses independent events? explain.

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

What is the relationship between the national response framework and the national incident management system (nims)? a. the national response framework replaces the nims, which is now obsolete. b. the response protocols and structures described in the national response framework align with the nims, and all nims components support response. c. the nims relates to local, state, and territorial operations, whereas the nrf relates strictly to federal operations. d. the nims and the national response framework cover different aspects of incident management—the nims is focused on tactical planning, and the national response framework is focused on coordination.

Which statement best defines tuition? tuition is federal money awarded to a student. tuition is aid given to a student by an institution. tuition is money borrowed to pay for an education. tuition is the price of attending classes at a school.