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Player II chooses a number j ∈ {1, 2, 3, 4}, and Player I tries to guess what number II has chosen. If he guesses correctly and the number was j, he wins 10 - j dollars from II. If he guesses incorrectly and the guess was j, he loses j dollars. Set up the matrix of this game and solve. Hint: First it is easy to find a mixed strategy for I that guarantees I an expected gain of 0. Is there a mixed strategy for II that guarantees II an expected loss of 0?
A production run of toothpaste requires a fixed cost of $100,000. The variable cost per unit is $3.00. If 50,000 units of toothpaste will be sold during the next month, what sale price must be chosen in order to break even at the end of the month?
Compute the general solutions of the following ordinary differential equation
rachel borrowed 20000 at 10 p.a. reducible and agreed to repay the loan over 4 years with 8 equal half-yearly
a.The internal rate of return is 13%. If the opportunity cost of capital is 10%, what is the NPV of the project? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)
Given the explicit solution from part (a), what is the largest possible t-interval on which the explicit solution makes sense?
how does each key managerial dimension promote effective research? how does each dimension help meet desired results?
suppose you have developed a scale that indicates the brightness of the sun. each category in the table is 5 times
Find the volume of the region rotated about the given axis bounded by the graphs of e^-x, y=0, and x=0.
use newtons method for three steps to find the cube rootuse newtons method for three steps to find sup3radic20.solve fx
If Tom Bombadil's house is 24 miles east of Hobbiton and 32 miles south, what is the straight line distance (omit units)?
Find the nonnegative numbers x, y and z that minimize the quantity M=x^2+y^2+z^2 subject to the condition (x^4)*(y^2)*z=1. Please show all work.
Let {f_n} be a sequence of measurable functions on [0,1] with |f_n (x)| 0 a.e.x
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