During which stage of the new product development process do companies usualy apply for patents? O commercialization
O market testing
O business analysis
O prototype development

While studying for the engineering economy final exam, you and two friends find yourselves craving a fresh pizza. you can't spare the time to pick up the pizza and must have it delivered. "pick-up-sticks" offers a 1-1/4-inch-thick (including toppings), 20-inch square pizza with your choice of two toppings for $15 plus 5% sales tax and a $1.50 delivery charge (no sales tax on delivery charge). "fred's" offers the round, deep-dish sasquatch, which is 20 inches in diameter. it is 1-3/4 inches thick, includes two toppings, and costs $17.25 plus 5% sales tax and free delivery. 1. what is the problem in this situation? state it in an explicit and precise manner. 2. systematically apply the seven principles of engineering economy (pp. 3-6) to the problem you have defined in part (a). 3. assuming that your common unit of measure is dollars (i.e., cost), what is the better value for getting a pizza based on the criterion of minimizing cost per unit of volume? 4. what other criteria might be used to select which pizza to purchase?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

(a) what was the opportunity cost of non-gm food for many buyers before 2008? (b) why did they prefer the alternative? (c) what was the opportunity cost in 2008? (d) why did it change?