A department store has budgeted cost of goods sold for August of $60,000 for its women's coats. Management wants to have $12,000 of coats in inventory at the end of the month to prepare for the winter season. Beginning inventory in August was $8,000. What dollar amount of coats should be purchased to meet the above plans?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a. what is the firm’s labor demand function? b. if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c. now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

conquest, inc. produces a special kind of light-weight, recreational vehicle that has a unique design. it allows the company to follow a cost-plus pricing strategy. it has $9,000,000 of average assets, and the desired profit is a 10% return on assets. assume all products produced are sold. additional data are as follows: sales volume 1000 units per year; variable costs $1000 per unit; fixed costs $4,000,000 per year; using the cost-plus pricing approach, what should be the sales price per unit?

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.