We can measure the complexity of an algorithm that solves a computational problem by determining the number of for an input of size n.

Lindon company is the exclusive distributor for an automotive product that sells for $30.00 per unit and has a cm ratio of 30%. the company’s fixed expenses are $162,000 per year. the company plans to sell 20,200 units this year. required: 1. what are the variable expenses per unit? (round your "per unit" answer to 2 decimal places.) 2. what is the break-even point in unit sales and in dollar sales? 3. what amount of unit sales and dollar sales is required to attain a target profit of $72,000 per year? 4. assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $3.00 per unit. what is the company’s new break-even point in unit sales and in dollar sales? what dollar sales is required to attain a target profit of $72,000?

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.]

Tri fecta, a partnership, had revenues of $369,000 in its first year of operations. the partnership has not collected on $45,000 of its sales and still owes $39,500 on $155,000 of merchandise it purchased. there was no inventory on hand at the end of the year. the partnership paid $27,000 in salaries. the partners invested $48,000 in the business and $23,000 was borrowed on a five-year note. the partnership paid $2,070 in interest that was the amount owed for the year and paid $9,500 for a two-year insurance policy on the first day of business. compute net income for the first year for tri fecta.