CatManDoo sold 4,500 bags of kitty litter during the month of June at a price of $10/bag. The company offers a full refund to unsatisfied customers for any product returned within 30 days from the date of purchase. Based on historical experience, Aria expects that 2% of sales will be returned. How much revenue should CatManDoo recognize in June?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

Skychefs, inc. prepares in-flight meals for a number of major airlines. one of the company's products is grilled salmon in dill sauce with baby new potatoes and spring vegetables. during the most recent week, the company prepared 4000 of these meals using 960 direct labor hours. the company paid these direct labor workers a total of $19,200 for this work, or $20.00 per hour. according to standard cost card for this meal, it should require 0.25 direct labour-hours at a cost of $19.75 per hour.1. what is the standard labor-hours allowed (sh) to prepare 4,000 meals? 2. what is the standard labor cost allowed (sh x sr) to prepare 4,000 meals? 3. what is the labor spending variance? 4. what is the labor rate variance and the labor efficiency variance?