Pablo Company has budgeted production for next year as follows: Quarter First Second Third Fourth Production in units 55,000 95,000 105,000 85,000 Three pounds of material A are required for each unit produced. The company has a policy of maintaining a stock of material A on hand at the end of each quarter equal to 20% of the next quarter's production needs for material A. A total of 45,000 pounds of material A are on hand to start the year. Budgeted purchases of material A for the second quarter would be:

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false

Hank itzek manufactures and sells homemade wine, and he wants to develop a standard cost per gallon. the following are required for production of a 70-gallon batch. 2,700 ounces of grape concentrate at $0.04 per ounce 77 pounds of granulated sugar at $0.43 per pound 133 lemons at $0.79 each 350 yeast tablets at $0.24 each 350 nutrient tablets at $0.14 each 2,500 ounces of water at $0.001 per ounce hank estimates that 4% of the grape concentrate is wasted, 9% of the sugar is lost, and 32% of the lemons cannot be used. compute the standard cost of the ingredients for one gallon of wine. (round intermediate calculations and final answer to 2 decimal places, e.g.