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A catering service has been asked to provide a lunch buffet the next day for 40 people at a set price of $10.50 per person; no function has been booked for the next two days. The catering service has fixed costs of $150.00 a day or $54,750 per operating year, and it operates with a variable cost of 65% of sales revenue. Calculate the operating income from the function and justify your decision to accept or reject the booking.
Solving probability problems based on empirical rule
Suppose that you have a set, if you remove some things from the set, will the remaining things always contain fewer items in it than the original set ?if so why? if not show with a proof.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Could you clarify what constitutes a spanning set and a basis? Also how does one test to see if a set of vectors is a spanning set and if it is a basis?
Upstream, downstream: Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
How do I determine the short-run profit maximizing price and quantity? How do I determine the maximum profit accruable to the firm?
Find the derivative of the function by using quotient rule.
Determine the expected payoff of the game
Standard deviation, Variance and Covariance. Calculate the standard deviation and variance of each set data, and covariance.
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
Rewrite the following system of equations as an augmented matrix. Put the matrix in reduced row echelon form to find the solution to the system of equations.
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
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