Revenue from product X is $11,000, variable costs are $7,000, and allocated fixed costs are $6,000. If you drop product X in the long term, profit will:
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Revenue from product X is $11,000, variable costs are $7,000, and allocated fixed costs are $6,000. If you drop product X in the long term, profit will:
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- When total revenue is $4000, explicit cost is $700, and implicit cost is $500, then calculate the economic gain.A small business can produce a maximum of 43 of its product per month and sell them for $7 each. The variable costs are $2 per unit and fixed costs are $125 per month. a) Find the revenue function. R(x) = b) Find the cost function. C(x) = c) Calculate the number of items needed to be sold per month to break-even. d) Calculate the revenue at the break-even (round off to the nearest cent). $Average and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale price per item if x items aresold. The profit P(x) of selling x items is P(x) = xp(x) - C(x)(revenue minus costs). The average profit per item when x items aresold is P(x)/x and the marginal profit is dP/dx. The marginal profitapproximates the profit obtained by selling one more item, given that x items have already been sold. Consider the following cost functions Cand price functions p.a. Find the profit function P.b. Find the average profit function and the marginal profit function.c. Find the average profit and the marginal profit if x = a units are sold.d. Interpret the meaning of the values obtained in part (c). C(x) = -0.02x2 + 50x + 100, p(x) = 100 - 0.1x, a = 500
- A small business can produce a maximum of 46 of its product per month and sell them for $7 each. The variable costs are $2 per unit and fixed costs are $175 per month. a) Find the revenue function. R(x) = b) Find the cost function. C(x) = c) Calculate the number of items needed to be sold per month to break-even. d) Calculate the revenue at the break-even (round off to the nearest cent). $ e) Plot the revenue and cost functions. 400 300 Revenue/Cost($)Find economic profit if total revenue is $4000 , explicit cost is $700 and implicit cost is $500A firm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced and sold) where C(x) = R(x) is called the break-even point. Assume that the below table can be expressed as a linear function. Find (a) the cost function, (b) the revenue function, and (c) the profit function. (d) Find the break-even point and decide whether the product should be produced, given the restrictions on sales. Fixed cost Variable cost Price of item $15 $300 $30 According to the restriction, no more than 17 units can be sold. (a) The cost function is C(x) =. (Simplify your answer.)
- Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly pleaseXYZ company can manufacture their own products and sells them. They are able to control the demand by changing the price that is determined by the equation below. The company is thinking of maximizing their profit. The fixed cost is $1,000 per month and the variable cost is $40 per unit. Find the number of units that must be manufactured and sold monthly to maximize profit. (Demand D in the equation is monthly) Hint: Profit = Total Revenue - Total Cost 2,700 5,000 p = $38 + D for D > 1 D2 1 Add fileThe revenue for a product is R(x) = - 0.004x2 + 21x – 6200 and the cost is C(x) = 0.02x + 38 for x units produced and sold. 1. Find the marginal profit for 2800 units. 2. Should output be increased or decreased to generate a higher profit?
- If explicit cost is $300, implicit cost Is $220 and total revenue is $700 Find Economic profitA company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p=60-0.1D (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $2,000 per month and the variable cost is $20 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month? COLL a. The maximum profit per month for this product is $. (Round to the nearest dollar.) BOX AIDiminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x thousand on advertising, as given by N(x) = -0.45x¹+49 x³ - 1,086 x² + 157,924. What is the point of diminishing returns? Round to the nearest dollar. $