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Application of differential calculus in economics: Profit, Cost and Revenue function.
The total cost of producing q units of a product is given by C(q) = q 3 - 60q2 + 1400q +1000 for 0≤q≤50; the product sells for $788 per unit. What production level maximizes profit? Find the total cost, total revenue, and total profit at this production level. Graph the cost and revenue functions on the same axes, and label the production level at which profit is maximized, and the revenue, and profit.[ Hint : Costs can go as high as $46,000]
if there are 720 students in the school, how many do not take Spanish, French, and German?
What is the mean value of the one trial of this game?
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Determine the fertilizer N use efficiency of a cro of pigeon peas if the N application rate of fertilizer was175 kg/ha and its 15N abundance was 8.5%.
With what initial velocity must an object be thrown upward from the ground to reach the height of a national monument (580 feet)? Use a(t) = -32 feet per second as the acceleration due to gravity. (Round to 2 decimal places.)
Let D be a Euclidean ring, F its field of quotients. Prove the Gauss lemma for polynomials with coefficients in D factored as product of polynomials with coefficients in F.
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Determine the kernel and range of each of the following linear transformations from R3 into R3. (a) L(x) = (x3, x2, x1)^T
How many strings of ten uppercase English letters are there
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