A firm believes a product’s sales volume (S) depends on its unit selling price (P) as S = $100 − P. The production cost (C) is $1000 + 10S. (a) Graph the sales volume (S) from 0 to 100 on the x axis, total cost and total income from $0 to $2500 on the y axis, C = $1000 + 10S, and plot the curve of total income. Mark the breakeven points on the graph. (b) Determine the breakeven point (lowest sales volume at which total sales income just equals total production cost). (c) Determine the sales volume (S) at which the firm’s profit is a maximum.

production function is Q = An orange grower has discovered a process for producing oranges that requires two inputs. The min{2x1, x2}, where x₁ and x2 are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are w₁ = 5 and w₂ = = 2, respectively. The minimum cost of producing 140 units is (a) $980 (b) $630 (c) $1400 (d) $280 (e) $700

A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. Whatis the fixed total cost, in dollars, to charter the aircraft?

F Given Cost and Revenue functions C(q)=q³-8q² +59q + 5000 and R(q) = -3 -39² +2600q, what cost is incurred when marginal profit is $0? The costs are $ (Round to nearest cent.)

A manufacturer estimates that its product can be produced at a total cost of c(x)=40,000+100x+x^3 dollars. If the manufacturer's total revenue from the sale of x units is R(x)=4300x dollars, determine the level of production x that will maximize the profit. Find the maximum profit.

The total cost a power plant ($/megawatts) to produce electricity is Y=12+1.3X+0.24 X2 , where X is in megawatts. The estimated selling price of electricity is (16-0.23X) per megawatts. Find the value of X that maximizes profit. Group of answer choices Less than 10 megawatts Between 10-12 megawatts Between 12-14 megawatts More than 14 megawatts Dont

Q.6 To express relationship between the average cost functions, which of the following is true: (a) ATC = AFC - AVC. (b) AVC= AFC + ATC. %3D (c) AFC= ATC + AVC. (d) AFC= ATC – AVC. %3D

A company estimates it will sell 5000 products in a year. I twould like to make some number N of equally spaced orders of size x units per order so that the total inventory cost (which includes prdering and storage) is minimized.   a) If there is a 420 per order fixed cost plus a cost of $9 per unit ordered, and the storage cost per year is $10, find the number of orders and the numbers of units per order so that the goal of minimizing inventory costs is achieved. b) Suppose that the ordering cost doubles to $18 per unit ordered,and that no other chnage is made. Decide whether this should or should not change the solutuon that you foind in part (a), and justify your answer.