NEED HELP ASAP, WILL GIVE BRAINLIEST Jan went grocery shopping and only bought items which had been marked down. The items she bought, along with their prices, can be seen below.

Compared to if she had bought no items on sale, by what percent was Jan’s total grocery bill discounted? Round to two decimal places.
a.
15.85%
b.
16.50%
c.
16.65%
d.
17.50%

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

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.

Myflvs -question 3 multiple choice worth 2 points)(10.04 hc)in panama city in january, high tide was at midnight. the water level at high tide was 9 feet and1 foot at low tide. assuming the next high tide is exactly 12 hours later and that the height of thewater can be modeled by a cosine curve, find an equation for water level in january for panamacity as a function of time (t).of(t) = 4 + 5of(t) = 5 cost + 4o 460) = 5 cos 1+ 4of(0) = 4 cos + 5