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A construction company has an expenditure rate of E'(x) = e0.12x dollars per day on a particular paving job and an income rate of I'(x) = 120.4 - e0.12x dollars per day on the same job, where x is the number of days from the start of the job. The company's profit on that job will equal total income less total expenditures. Profit will be maximized if the job ends at the optimum time, which is the point where the two curves meet.
a) Find the optimal number of days for the job to last.
b) Find the total income for the optimum number of days.
c) Find the total expenditures for the optimum number of days.
d) Find the maximum profit for the job.
A V-Shaped water gutter is to be considered rectangular sheets of metal 10 inches wide. Find the angle between the sheets that will maximize the carrying capacity of the gutter.
the sunniest place in the world is yma in the american state of arizona. this small city basks in 4055 ours of
What is the amount of both the credit and the discount amount Reliance should receive?
1. I am deciding on whether to invest 400,000 CAD to open a convenience store in particular spot in Ottawa. I know that the business will be profitable, with income of 70,000 CAD per year, if the store will have in average μ = 60 or more customers..
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
How would you test the reliability of your test? How would you assess the validity?
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
Question - Let vector F(x, y) = x2i + y2j with C being the arc of the parabola y=2x2 from (-1, 2) to (2, 8). Find function f such that F→ = ∇F
A square field has an area of 196 square meters. It is to be fenced with fencing that costs $ 30.00 per m. Find the cost to fence the field.
A wrench 23cm long lies along the positive y axis and grips a bolt at the origin. A force is applied in the direction at the end of the wrench. Find the magnitude of the force needed to supply 117N-m of torque to the bolt.
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
The probability of a bit error in a memoryless binary symmetric communication channel is 10^-3. Find the probability of a block of 1000 bits
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