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Determining Cost Estimating Function
A product plant is being considered for a new booming market. Total fixed cost for design, land, and plant construction is $105. The variable cost of producing product is a function C (n) = 100n - 3 x 10-3 n2 + 10-7 n3 where n = number of product produced.
(a) Determine the total cost function C (T). (Hint: It includes the cost of producing the product and fixed cost.)
(b) Find the marginal cost function Cm for producing the product.
(c) Find the number of product for minimum marginal cost. What is the marginal cost at this point? What is the average cost per unit at this level of production?
(d) Total revenue is given by S (n) = 250 n. Find the marginal price. Determine the functions for total profit, and marginal profit.
(e) Find the point to maximize profit.
(f) Graph these cost equations.
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The town of Obfisquitory wishes to use 4 equal volumes of CFSTR's in series to disinfect 2 million gallons per day (mgd) of water containing 1000 coliforms/L to the maximum required concentration (MCL) of 1 coliform/L.
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A box of mass M=500 kg hangs by a rope from a beam with dimensions a=2.0 m and b=3.0 m. The beam has mass m=85 kg. Find the tension T_c in the cable and the magnitude of the net force F exerted on the beam by the hinge.
A fluid flows into a plug flow reactor of volume, V, with volumetric flow rate, Q. Inflow contains species A and B and concentrations A0 and B0. Within reactor, species A undergoes first order reaction producing B... R=k[A].
Determine the maximum force P that can be applied without causing the two 50-kg crates to move. The coefficient of static friction between each crate and the ground is 0.25 The crates are next to each other connected
In 1800 an undeveloped country had a population of 10 million with birth and death rates of 60 and 52 per thousand per year. The situation continued until 1900, when the death rate instantaneously was reduced to 10, but the birth rate remained consta..
Calculate carbonate, noncarbonate, and total hardness Na+ = 27.8 mg/L Cl- = 35.6 mg/L Ca+2 = 48mg/L CO3-2 = 30 mg/L Mg+2 = 12mg/L HCO3- = 61 mg/L K+ = 12 mg/L SO4-2 = 48 mg/L
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The space truss shown is supported by a ball-and-socket joint at D and by short links at A and C. Determine the support reactions and the force in each member of the space truss.
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