1. (inventory management) the daily demand for lemonade has a triangle density as follows: the demand is 0 outside of [40,60]; the density increases linearly (starting from 0) between 40 and 50 cups, and then decreases linearly between 50 and 60 (back to 0). the profit for lemonade is $1 per cup, and the cost to get rid of excess lemonade is 20 cents per cup. a. what is the optimal amount of lemonade to prepare at the beginning of the day? b. what is the standard deviation of the demand?

An electronics manufacturer wants to know if customers would be interested in a detachable keyboard for their tables and if so, what the most important features would be. the manufacturer partners with an electronics store to include copies of the survey with every purchase at that store for one week. which of the following best explains why this random sample is unlikely to be a good representative sample of tablet owners' preferences for a detachable keyboard? a) one week is likely not enough time to get a large enough sample. b) most people won't bother to send in the survey, which is likely to skew the results c) there is no way to verify whether the responders to the survey actually own a tablet d) the survey is biased because it was conducted through an electronics store, not the general population

Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.

Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? select two of the following that apply.