Blog

Knowledge     Determine the number of roots, using the strategies discussed in class. a)  y = -3(x + 2)2 – 5  b)  y = -2(x – 4)(x + 2) c)  y = 2×2 + x + 1

Knowledge     Determine the number of roots, using the strategies discussed in class. a)  y = 3(x + 1)2  + 4  b)  y = -1/2(x + 2)(x – 2) c)  y = -2×2 + 4x + 1

Thinking     Determine the points of intersection of the liney = 2x + 5 and the parabola y = x² + 3x – 10 Hint – use substitution, then make equal to zero.

The height of a rocket above the ground is given by the formula:h = -4.9t² + 98t + 1.5,where h is the height in metres and t is the time in seconds. a) What height was the rocket launched from? (1) b) Calculate the maximum height the rocket reaches, and the time at which it reaches this height by completing the square. Show your work. (5) c) Determine the time (to 2 decimal places) the rocket hits the ground. Show your process. (3)

What is the amount concentration (molarity) of a solution prepared by dissolving 16.4 grams of potassium hydroxide (KOH) in enough water to make 350.0 mL of solution?

In monopolistic competition, price is set by 

Consider an industry with steadily declining demand. A firm can choose to stay or exit. If it exits, it can sell of its assets and recover a scrap value of $4500. If it stays, its future stream of payoffs is:   t = 0 t = 1 t = 2 t = 3 Payoff from staying 1500 1500 1000 500 Assume that the interest rate is 10%, so r = 0.1. Round your answers to 2 decimal places. What is the PDV of payoffs from staying? [a1] Should the firm stay in the industry? (Type in “Yes” or “No”) [a2]

Consider a hospital debating whether it should adopt advanced Electronic Medical Records (EMR) technology, or stay with its current setup. Adoption of advanced EMR will incur a short term cost, but is expected to improve future payoffs for the hospital. How can adoption of EMR technology improve hospital payoffs? “Hospitals … can better consolidate information through the digitalization of data, which helps health-care providers to store, retrieve, and examine these data more efficiently… help hospitals to improve health-care quality further by providing physicians with effective decision support and easy care coordination.” (Wang 2022 IER, “Competition and multilevel technology adoption”). Suppose the hospital is forecasting 4 years ahead. Its stream of profits from each decision is given below, where t = 0 denotes current year. t = 0 t = 1 t = 2 t = 3 t = 4 Current tech 5000 4000 3000 2000 500 Upgrade to advanced tech -3000 6000 5000 5000 4000   Let PDV denote “present discounted value”. The interest rate is 5%, so r = 0.05. Round your answers to 2 decimal places. What is the PDV from staying at current tech? [a1] What is the PDV from upgrading to advanced tech? [a2] Should the firm upgrade? (Type in “Yes” or “No”) [a3]

. Coca-Cola Classic has a high market share in the mature and slow-growing soft drink industry. According to the BCG matrix, how would you classify Coca-Cola Classic?

The World Wrestling Federation (WWF) manages professional wrestling matches. In addition, the WWF owns and operates a successful club in NYC; it is partnered with Microsoft to manufacture Xbox video consoles; it produced its own reality-based television show; and it has licensed and marketed a number of WWF-related toys and collectibles.  All of these efforts have been targeted to fans of professional wrestling.  From this description, you could say that the WWF has adopted a _________ strategy.