The only variable input a janitorial service firm uses to clean offices is workers who are paid a wage, w, of $6 an hour. each worker can clean four offices in an hour. use math to determine the variable cost, the average variable cost, and the marginal cost of cleaning one more office.   the variable cost of cleaning the first office is $ 1.5, average variable cost of cleaning one more office is $ 1.5, and marginal cost of cleaning one more office is$ 1.5. (enter your response rounded to two decimal places.) 1.) using the line drawing tool, graph the variable cost curve. label this curve 'vc.' 2.) using the line drawing tool, graph the average variable cost curve. label this curve 'avc.' 3.) using the line drawing tool, graph the marginal cost curve. label this curve 'mc.' carefully follow the instructions above, and only draw the required objects. 0 4 8 12 16 20 24 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 quantity, q, offices cleaned cost, cost per unit, $ mc vc

2. high-glow currently produces 1,000 bicycles per month. the following per unit data apply for sales to regular customers: direct materials $50 direct manufacturing labor 5 variable manufacturing overhead 14 fixed manufacturing overhead 10 total manufacturing costs $79 the plant is experiencing demand shortage and is considering reducing production to 800 bicycles. what is the per unit cost of producing 800 bicycles? a) $79 per unit b) $81.50 per unit c) $74 per unit d) $69 per unit

Profits from using currency options and futures.on july 2, the two-month futures rate of the mexican peso contained a 2 percent discount (unannualized). there was a call option on pesos with an exercise price that was equal to the spot rate. there was also a put option on pesos with an exercise price equal to the spot rate. the premium on each of these options was 3 percent of the spot rate at that time. on september 2, the option expired. go to the oanda.com website (or any site that has foreign exchange rate quotations) and determine the direct quote of the mexican peso. you exercised the option on this date if it was feasible to do so. a. what was your net profit per unit if you had purchased the call option? b. what was your net profit per unit if you had purchased the put option? c. what was your net profit per unit if you had purchased a futures contract on july 2 that had a settlement date of september 2? d. what was your net profit per unit if you sold a futures contract on july 2 that had a settlement date of september 2

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?