5. Negative float can be attributed to (check all answers that apply): a. Duration of an activity(s) on the critical path or a near-critical path took more time than planned. b. An activity was added to the critical path or a near-critical path. c. The contractor used an "As Late As Possible" constraint. d. Budget overrun in critical activity(s).

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.

1. what is the lowest balance during this period? 2. lily just received her bank statement below. a. what does the bank think her ending balance is? b. how much more does the bank think lily has? c. what transactions are missing? 3. what is the danger of not balancing your bank account? lily’s bank statement deposits: 2/25 $35 2/26 $20 3/1 $256.32 checks: 2/24 ck #301 $25 2/26 #302 $150 debit card: 2/24 american eagle $75.48 2/25 chick fa la $4.67 2/27 mcdonalds $3.56 2/28 chevron $34.76 withdrawal: 2/27 $40 beginning balance $423.34 deposits $311.32 total debits $333.47 ending balance $401.19

Owns a machine that can produce two specialized products. production time for product tlx is two units per hour and for product mtv is four units per hour. the machine’s capacity is 2,100 hours per year. both products are sold to a single customer who has agreed to buy all of the company’s output up to a maximum of 3,570 units of product tlx and 1,610 units of product mtv. selling prices and variable costs per unit to produce the products follow. product tlx product mtv selling price per unit $ 11.50 $ 6.90 variable costs per unit 3.45 4.14 determine the company's most profitable sales mix and the contribution margin that results from that sales mix.