Different observation plans for a fast-food restaurant
Two teams have two different observation plans for a fast-food restaurant.
Plan A - Observe the restaurant on three different days for one hour each time.
Plan B - Observe the restaurant once for three hours.
Which plan do you think is better? Why?
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Find expressions for the competitive equilibrium price and the quantity if there are n firms in the industry. Determine the equation for how much each firm produces? Calculate the equation for the profit of each firm?
In Las Vegas, there is simple game in which you put down $250 and are given exactly four cards from 52-card deck, one card at time. If you get the 2, 3, 4 and 5 card, in that order, you win $7,000 (the suit doesn't matter). How many possible four-
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Prove the following combinatorial relation: C(2n+2, n+1) = C(2n, n+1) + 2*C(2n, n) + C(2n, n-1). The proof must show proof of equality by left hand side and right hand side.
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Let ABC be a right triangle with right angle at C. A square S has AB as one side and lies completely outside of triangle ABC. Show that the (extended) bisector of angle C cuts the square into two pieces of equal area.
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