A company produces two different versions of a certain product. Let q₁ indicate the amount produced of the first version. The cost function c(q₁) for the first version (expressed in euros) can be described by the equation c(9₁) 9₁. √0.59² +59₁ 10 a) For which value(s) of q₁ is the instantaneous rate of change of the cost function equal to 1.75? You may use the graphical calculator to find zeros of a polynomial function if needed. b) Using the result from a), give a precise economic meaning for the instantaneous rate of change of 1.75. = We now denote q2 as the amount produced of the second version. The equation of the cost function c(9₂) for the second version is unknown. We do know that the current cost for a production of 2 units of the second version is 50 monetary units and that the elasticity of the cost in terms of the produced amount when 9₂ = 2 is equal to 1.88.

A company produces two different versions of a certain product. Let q₁ indicate the amount produced of the first version. The cost function c(q₁) for the first version (expressed in euros) can be described by the equation c(9₁) 9₁. √0.59² +59₁ 10 a) For which value(s) of q₁ is the instantaneous rate of change of the cost function equal to 1.75? You may use the graphical calculator to find zeros of a polynomial function if needed. b) Using the result from a), give a precise economic meaning for the instantaneous rate of change of 1.75. = We now denote q2 as the amount produced of the second version. The equation of the cost function c(9₂) for the second version is unknown. We do know that the current cost for a production of 2 units of the second version is 50 monetary units and that the elasticity of the cost in terms of the produced amount when 9₂ = 2 is equal to 1.88.

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter4: Extent (how Much) Decisions

Section: Chapter Questions

Problem 3MC

See similar textbooks

Similar questions

What is the formulae used to find unit cost?
For 9 units of a product, a manufacturer's cost is C(9) dollars and revenue is R(g) dollars, with C(500) = 7500, R(500) = 9800, MC(500) = 15 and MR(500) = 25 . (a) What is the profit or loss at 4 500 ? The is (b) If production is increased from 500 to 501 units, by approximately how much does profit change? The change in profit is
ATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the above
major league baseball plans to sell special commemorative jerseys for the world series. the suppliers says that costs will be C(x)= 10x2-680x-20,000 dollras dor making x jerseys. MLB plans to sell them for 120 dollars each. how many jerseys must be sold for MLB to make a profit?
Consider a power system with three generators. Each generator has a piecewise linear cost function defined by the following points. Generator 1 Generator 2 Generator 3 Production (MWh) 100 200 300 400 200 400 600 800 100 400 700 1000 Cost ($) 915 1760 2635 3540 1870 3530 5230 6970 1060 3460 6040 8800 The min/max production of each generator corresponds to the min/max production values in the table (i.e., Generator 1 produces at least 100 MWh and no more than 400 MWh). (a) Plot the inverse supply function for this system. (b) If the demand is completely inelastic and equal to 1600 MWh į. compute the electricity price. ii. calculate the gross consumer surplus, consumer surplus, the producers revenue, the producers profit, and the global welfare. iii. determine the production level, cost, revenue, and profit for each generator.
Cost Analysis A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing X fuel tanks is given by.. C(x) = 10000 +90x - 0.05x² %3D Find the exact cost of producing the 501st item. (Round to the nearest 2 decimal places, if needed) HINT: Steps to fiınd actual or exact (cost/revenue/profit) 1. Find the cost of x = 5003B 2. Then find the cost of x = 501%3; 3. Then subtract ASUS 3 近
a manufacturer produces certain items at a labor cost of 150 each, the material cost is 75 each, and the variable cost of 2.50 each. if the item has a unit price of 500, how many number of units must be manufactured each mont for the manufacturer to break even if the monthly overhead of 299,750?
A cost function is given. C(q) = 3600 + 5q-0.02q² + 0.00039³ (a) Find the average cost and marginal cost functions. +5 -0.02q +0.0003q average cost 3600 9 marginal cost 5 -0.04q+0.0009q (b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer to the nearest integer.) 194 ✓ units (c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.) $ 32.41 X (d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.) $ 4.56
When the production volume (Q)is(100)units and the total costs (TC)is (1500) omani RIyals and fixed costs (900) Riyals then What is the variable cost ?
Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost is
these are the drop down options Washes per hour dollars
A heavy equipment manufacturing company has produced its first unit using 3500 hours and $300,000 overhead cost. The next unit, i.e. the second unit took 3300 hours. Overhead cost for this unit was $200,000. Suppose the labor was $20 per hour. Being the production manager, you need to decide what would be the total production costs for additional 10 units after the completion of the second unit. Round the final amount to nearest integer. $1,597,832 C$1,003,183 (DNone of the above