Crown Co. can produce two types of lamps, the Enlightner and Foglighter. The data on the two lamp models are as follows: Enlightner Foglighter Sales volume in units 500 400 Unit sales price $ 300 $ 400 Unit variable cost 200 240 Unit contribution margin $ 100 $ 160 It takes one machine hour to produce each product. Total fixed costs for the manufacture of both products are $90,000. Demand is high enough for either product to keep the plant operating at maximum capacity. Assuming that sales mix in terms of dollars remains constant, what is the breakeven point in dollars? (Round intermediate calculations to 4 decimal places and final answer up to the nearest whole number.)

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When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1