Wayne owns a 30% interest in the capital and profits of emerald company (a calendar year partnership). for tax year 2019, the partnership earned revenue of $900,000 and had operating expenses of $660,000. during the year, wayne withdrew from the partnership a total of $90,000. he also invested an additional $30,000 in the partnership. for 2019, wayne's gross income from the partnership is:

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

M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?