Because of the relationship between a perfectly competitive firm's demand curve and its marginal revenue curve, the profit maximization condition for the firm can be written as

Gino's restaurant is a popular restaurant in boston, massachusetts. the owner of the restaurant has been trying to better understand costs at the restaurant and has hired a student intern to conduct an activity-based costing study. the intern, in consultation with the owner, identified the following major activities: activity cost pool activity measure serving a party of diners number of parties served serving a diner number of diners served serving drinks number of drinks ordered some costs, such as the cost of cleaning the linens that cover the restaurant's tables, vary with the number of parties served. other costs, such as washing plates and glasses, depends on the number of diners served or the number of drinks served. data concerning these activities are shown below. serving a party serving a dinner serving drinks total total cost $47,600 $153,000 $59,800 $260,400 total activity 7,000 parties 30,000 diners 46,000 drinks prior to the activity-based costing study, the owner knew very little about the costs of the restaurant. she knew that the total cost for the month was $260,400 and that 30,000 diners had been served. therefore, the average cost per diner was $8.68.required: 1. compute the activity rates for each of the three activities 2. according to the activity-based costing system, what is the total cost of serving each of the following parties of diners? a. a party of four diners who ordered three drinks in total b. a party of two diners who do not order any drinks c. a lone diner who orders two drinks 3. convert the total costs you computed in part (1) above to costs per diner. in other words, what is the average cost per diner for serving each of the following parties: a. a party of four diners who order three drinks in total b. a party of two diner who do not order any drinks c. a lone diner who orders two drinks 4. why do the costs per diner for the three different parties differ from each other and from the overall average coast of $9.80 per diner?

Norton manufacturing expects to produce 2,900 units in january and 3,600 units in february. norton budgets $20 per unit for direct materials. indirect materials are insignificant and not considered for budgeting purposes. the balance in the raw materials inventory account (all direct materials) on january 1 is $38,650. norton desires the ending balance in raw materials inventory to be 10% of the next month's direct materials needed for production. desired ending balance for february is $51,100. what is the cost of budgeted purchases of direct materials needed for january? $58,000 $65,200 $26,550 $25,150

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.