Acompany manufactures rope, and the total cost of producing r r feet of rope is c ( r ) c(r) dollars. what does it mean to say that c ( 2000 ) = 800 ? c(2000)=800? what are the units of c ′ ( r ) ? c′(r)? suppose that c ( 2000 ) = 800 c(2000)=800 and c ′ ( 2000 ) = 0.35 . c′(2000)=0.35. estimate c ( 2100 ) , c(2100), and justify your estimate by writing at least one sentence that explains your thinking. do you think c ′ ( 2000 ) c′(2000) is less than, equal to, or greater than c ′ ( 3000 ) ? c′(3000)? why? suppose someone claims that c ′ ( 5000 ) = − 0.1 . c′(5000)=−0.1. what would the practical meaning of this derivative value tell you about the approximate cost of the next foot of rope? is this possible? why or why not?

The table shows the demand and supply schedules for magazines. complete the following sentences. the equilibrium price of a magazine is $ 4 and the equilibrium quantity is 150 magazines a week. price (dollars per magazine) quantity demanded quantity supplied (magazines per week) 3.00 160 138 3.50 155 144 4.00 150 150 4.50 145 156 5.00 140 161 now a fall in the price of a newspaper decreases the quantity demanded by 11 magazines a week at each price. at the original equilibrium price, a occurs. to return to equilibrium, the price of a magazine a. surplus; rises b. shortage; rises c. shortage; falls d. surplus; falls as the market returns to equilibrium, the quantity demanded and the quantity supplied a. decreases; increases b. decreases; decreases c. increases; decreases d. increases; increases the new equilibrium price is $ nothing a magazine.

The monthly sales for yazici​ batteries, inc., were as​ follows: month jan feb mar apr may jun jul aug sept oct nov dec sales 19 20 17 12 11 18 16 17 19 22 21 24 this exercise contains only parts b and c. ​b) the forecast for the next month​ (jan) using the naive method​ = nothing sales ​(round your response to a whole​ number). the forecast for the next period​ (jan) using a​ 3-month moving average approach​ = nothing sales ​(round your response to two decimal​ places). the forecast for the next period​ (jan) using a​ 6-month weighted average with weights of 0.10​, 0.10​, 0.10​, 0.20​, 0.20​, and 0.30​, where the heaviest weights are applied to the most recent month​ = nothing sales ​(round your response to one decimal​ place). using exponential smoothing with alpha ​= 0.40 and a september forecast of 21.00​, the forecast for the next period​ (jan) = nothing sales ​(round your response to two decimal​ places). using a method of trend​ projection, the forecast for the next month​ (jan) = nothing sales ​(round your response to two decimal​ places). ​c) the method that can be used for making a forecast for the month of march is ▾ a 3-month moving average a 6-month weighted moving average exponential smoothing the naive method a trend projection .

In 2000, campbell soup company launched an ad campaign that showed prepubescent boys offering soup to prepubescent girls. the girls declined because they were concerned about their calorie intake. the boys explained that “lots of campbell’s soups are low in calories,” which made them ok for the girls to eat. the ads were pulled after parents expressed concern. why were parents worried? i