Question

In: Accounting

james inc. charges $2,800 for its hand-crafted guitars. The cost function that describes the total cost,...

james inc. charges $2,800 for its hand-crafted guitars. The cost function that describes the total cost, C, as a function of the guitars crafted and sold, x, is:

C(x) = 2000x + 4x 2 + 30000

a) Formulate the profit function, P(x).

b) How many game boards must be crafted and sold in order to maximize the total profit?

c) What is the maximum profit?

d) How many game boards must be crafted and sold in order to break even?

Solutions

Expert Solution


Related Solutions

You are given the following information for Clapton Guitars, Inc.   Profit margin 10 %   Total asset...
You are given the following information for Clapton Guitars, Inc.   Profit margin 10 %   Total asset turnover   1.4   Total debt ratio 0.49   Payout ratio 36 % Calculate the sustainable growth rate (in %) (round 4 decimal places)
You are given the following information for Hendrix Guitars, Inc. Profit margin 6.3 % Total asset...
You are given the following information for Hendrix Guitars, Inc. Profit margin 6.3 % Total asset turnover 1.75 Total debt ratio .35 Payout ratio 30 % Calculate the sustainable growth rate. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Aug.1 Inventory on hand—2,800 units; cost $6.10 each. 8 Purchased 14,000 units for $6.30 each. 14...
Aug.1 Inventory on hand—2,800 units; cost $6.10 each. 8 Purchased 14,000 units for $6.30 each. 14 Sold 11,200 units for $12.80 each. 18 Purchased 8,400 units for $6.40 each. 25 Sold 10,200 units for $11.80 each. 28 Purchased 4,800 units for $5.80 each. 31 Inventory on hand—8,600 units. Required: Using calculations based on a periodic inventory system, determine the inventory balance Altira would report in its August 31, 2021, balance sheet and the cost of goods sold it would report...
Aug.1 Inventory on hand—2,800 units; cost $6.10 each. 8 Purchased 14,000 units for $6.30 each. 14...
Aug.1 Inventory on hand—2,800 units; cost $6.10 each. 8 Purchased 14,000 units for $6.30 each. 14 Sold 11,200 units for $12.80 each. 18 Purchased 8,400 units for $6.40 each. 25 Sold 10,200 units for $11.80 each. 28 Purchased 4,800 units for $5.80 each. 31 Inventory on hand—8,600 units. Required: Using calculations based on a periodic inventory system, determine the inventory balance Altira would report in its August 31, 2021, balance sheet and the cost of goods sold it would report...
Consider the following “Total Cost” function:
Consider the following “Total Cost” function:                    Total Cost =   4Q3 – 204Q2 + 700Q + 2500     a.)  Solve for the “inflection point” of this function ( show your work).     b.) Which Q has the LOWEST “Marginal Cost” ( give a numerical answer; briefly                        explain how your answer to a.) is relevant).
A cost estimating relationship (CER) describes the cost as a function of design variables. What are...
A cost estimating relationship (CER) describes the cost as a function of design variables. What are the basic steps in developing a CER?
you are gicen the following information for hendrix guitars inc. profit margin 5.7, total asset turnover...
you are gicen the following information for hendrix guitars inc. profit margin 5.7, total asset turnover 1.5, total debt ration .38, payout ratio 35%. calculate the sustainable growth rate.
Write the following functions. Each function needs function comments that describes function and its parameters double...
Write the following functions. Each function needs function comments that describes function and its parameters double sphereVolume( double radius) double sphereSuface( double radius) double cylinderVolume( double radius, double height) double coneSurface( double radius, double height) double coneVolume( double radius, double height) That computes the volume and surface of the sphere with radius, a cylinder with a circular base with radius radius , and height height , and a cone with a circular base with radius radius , and height height...
Universal widget produces high-quality widgets. Its total cost function is given by ?? = 0.25? 2...
Universal widget produces high-quality widgets. Its total cost function is given by ?? = 0.25? 2 . Widgets are demanded in Australia (where the demand curve is given by qA = 100 – 2PA) and in Lapland (where the demand is given by qL = 100 – 4PL). Total demand is equal to the combined demand from both locations. Suppose Universal widget can control the quantities supplied to each market. (a) How many should it sell in each location to...
The firm's production function is: q = K0,5 L0,5 and the total cost function is 10K...
The firm's production function is: q = K0,5 L0,5 and the total cost function is 10K + 10L = 10000 where q: output K: capital and L: labor a. Calculate how many K and L are used for maximum production in 2 ways. b. Draw the solution to the problem in graphic form with isoquant and isocost (TC) curves. c. Draw it like No.2, add the following conditions in the same graph: - if the price of L increases to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT