Imagine you are using design process to create a new kind of kite. you’ve researched and explored what other kite designers have done in the past and determined which materials you will use. what should you do next?

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

You are bearish on telecom and decide to sell short 100 shares at the current market price of $50 per share. a. how much in cash or securities must you put into your brokerage account if the broker’s initial margin requirement is 50% of the value of the short position? b. how high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? (input the amount as a positive value. round your answer to 2 decimal places.)

Haley photocopying purchases a paper from an out-of-state vendor. average weekly demand for paper is 150 cartons per week for which haley pays $15 per carton. in bound shipments from the vendor average 1000 cartoons with an average lead time of 3 weeks. haley operates 52 weeks per year; it carries a 4-week supply of inventory as safety stock and no anticipation inventory. the vendor has recently announced that they will be building a faculty near haley photocopying that will reduce lead time to one week. further, they will be able to reduce shipments to 200 cartons. haley believes that they will be able to reduce safety stock to a 1-week supply. what impact will these changes make to haley’s average inventory level and its average aggregated inventory value?