The cost function is C(x) = 5x + 21 and price-demand function is p(x) = 25−4x • Find the profit function P(x). • Find the number of items which need to be sold in order to maximize profit. • Find the maximum profit.
Q: x 2y V. Consider the lines : *+1-2/4/ = 2z - 6 and m: x= -1 + 10t, y = 7t, z = 2+t. 5 7 1. Determine…
A:
Q: The number of hours of daylight varies throughout the course of a year (daylight is defined as the…
A: For absolute maximum or minimum i) verify that the function is continuous on the given interval…
Q: Name: MPM2D-Circles Quiz /10 A circle that has a radius of 4.3 units and is centered at (0,0) is…
A:
Q: Q2) The general solution of y" + 2y"-y' - 2y = 0, is: a) y(x) = c₁e²x + ₂x + c₂e* c) y(x) = c₁e²x +…
A: Solution :-
Q: Sue Flay opened a McDonald's on White Plains Road and Cassa Role opened a Burger King across the…
A: We will find how fast profit from McDonald's and Burger king increasing and depending on that we…
Q: (d) Find the cosets of the quotient group (5)/(10), and determine its order.
A:
Q: An ad agency tracks the complaints, by week received, about the billboards in its city: No. of…
A:
Q: EXERCISES: Fill in the correct values. Show your solutions. m Principal (P) Term Interest (P) r 9% 6…
A: Since you have posted a multiple question according to guildlines I will solve first question…
Q: Q4: State the Fundamental Theorem of Independent of Path and Morera's Theorem. Why can't apply these…
A:
Q: Given the f(x)=sin(x)+cos(x), find f’(4) at h=0.5 using: (Round off the final answer to 3 decimal…
A:
Q: (5-3)²+25/ 5 Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S a) 8 4 (s+2)²+16 2s2+18 b) d) (S-2)2+16…
A:
Q: ) Given the set S = {1,2,...,n}, show that Sym(S) is Abelian for n = 1, 2, and non- Abelian for n>2,…
A: This is a problem with the theory of Groups.
Q: Given the basis C, the change of basis matrix P, and [x] B. Determine x: C-B 2 -1 2 1 2 1) Let C be…
A: We have to find [x] using Basis C and Change of basis matrix P.
Q: QUESTION 1 A liquid-liquid extraction process conducted in the Electrochemical Materials Laboratory…
A: Consider the given quadratic interpolant that estimate g, g=x1a2+x2a+x3, 2≤a≤3 Now, consider the…
Q: Let M(R) denote the set of all mappings from R to R. For mappings f, g: R → R, define pointwise…
A:
Q: 1. (4 ×6 x) +6 2 = 1 2. (3 x6 x) +65 = 1
A: These are the problems of the theory of congruence.
Q: Question 5. - J (a) Express the permutation (2 4 5) (1 3 5 4) (1 2 5) as a single cycle or a s a…
A:
Q: 3- a) Find the area of the region in the first quadrant between, y = x and y = x² b) Find the volume…
A: We have to find area and volume of given region.
Q: Example 12: Sketch a graph of the function f(x) = x² - 4x³ + 10 using the following steps. (a)…
A:
Q: Determine if the following system of planes is consistent or inconsistent. Describe the scenario The…
A:
Q: please solve question differential equations 12
A:
Q: Using Simpson's 3/8 six interval-rule, find the area of the region bounded by y = e*sinx,x = −ñ, x =…
A:
Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…
A:
Q: Q17) Evaluate L (2 e-2t sin4t :-0.5 cos3t): B (5+2)2+16 2s2+18 b) 8 (5-2)2+16 252418 c) (s+2)2+16…
A: Some Laplace transform properties…
Q: Using five significant figures in the computations, determine d(sinx)/dx at x = 0.8 from a) the…
A:
Q: Problem 2: Find the inverse Laplace transform of each of the following function. a) F(s) = -² S e3s…
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Derivative application question please answer with detail! A property management company manages an…
A: We have to find What rent should be charged in order to realize the most profit.
Q: Consider the function f(x) = x³ + 2x + 5. 1. Estimate the root to two significant digits using…
A:
Q: W1 3. Let w = V = 2 W2 gram formed by w, v is equal to 2.5 1.5 0.5 is W Referring to the image…
A:
Q: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.
A:
Q: Detective Colombo was ready to go to bed when his phone rang. He looked at the clock on the wall,…
A: Given: Statement To find: a) Valuable asset b) Change of picture
Q: Find the simple interest earned on 5,000 deposited 40% for 10 years.
A:
Q: given Activity A & JOH 4 $ D E F G precedence activity IE, F Find critical path 1 ¢ A A B CD
A:
Q: If f & R[a, b], then f is not continuous on [a, b]. If each fn is differentiable on [a, b] and fn ⇒…
A:
Q: 7 in. 112' C Give the measure of angle B to the nearest degree. 10 in.
A: We will use the Sine rule. It states that if A,B,C are angles in a triangle and a,b,c are respective…
Q: (a) Show that for nonempty HCG, then (H, *) (G, *) a,b Ha*b¹ € H. (b) For some fixed element a € G,…
A:
Q: Use the definition of Riemann Integrability to show that if ƒ € R[a, b], then cf € R[a, b] for any…
A:
Q: a) y(t)=ce²t cos(5 t) + c₂e² sin c)y(t)=ce²t cos(√5 t) + c₂et sin (√5 t) Q8) The inverse Laplace…
A: Some of the Properties of Laplace transformation…
Q: Two spherical tanks are connected as in the figure below. The first tank has the radius 1m and is on…
A: Given, radius of first tank= 1 m radius of second tank= 0.5 m bottom of second tank is 2 m above the…
Q: Using two nodes of Gaussian integration, find the area of the region bounded by y = xe-x², x =…
A:
Q: A) function is defined by (1-x if x ≥ 0 f(x)= √x² if x < 0 Evaluate f(0), f(1)and f(2) and sketch…
A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…
Q: mework. Find Sup, Inf, Max, Min of the following subsets of R: S₁ = {2-P +39 +5: p,q,r€ Z+). S₂ = {x…
A: Note: According to Company Guidelines we are providing the answer of only 3 subquestions. Kindly…
Q: C. the directed multigraph D II. Given A. the pseudograph H, H: D: Find the following properties of…
A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…
Q: Find the area A of the region that is bounded between the curve f(x) = -4 sin () and the curve g(x)…
A:
Q: 5. Let set A consist of an apple, an orange and a pear. Let set B consist of an apple and a banana.…
A:
Q: Question 9. (a) Prove that every element of Q/Z has finite order.
A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…
Q: State the following theorems and definitions: 1. The Fundamental Theorem of Calculus (First Form) 2.…
A:
Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(§) inside and…
A:
Q: Q5) e-st dt = b) 0 c)=-¹ d) ∞ 0. If you know that the radius of convergent of the series method for…
A:
Q: function Q1: For, 0< |z| < 1, evaluate the following integral where g is analytics g(5) inside and…
A:
The cost function is C(x) = 5x + 21 and price-demand
function is p(x) = 25−4x
• Find the profit function P(x).
• Find the number of items which need to be sold in order to maximize profit.
• Find the maximum profit.
• Find the price to charge per item in order to maximize profit.
• Find and interpret break-even points.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
- Demand for apartments in a certain town is D(x)=1480−3x,and the supply is S(x)=500+11x, where x is the number of apartments, in hundreds, and D(x) and S(x) are the rent in dollars per month, per apartment. a) Find the equilibrium point = b) Find the consumer surplus and producer surplus= c) Suppose a maximum rent of$1050 per month is imposed by the town council. Find the point xC, pC= d) Find the new consumer surplus and new producer surplus= e) Find the deadweight loss=A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 15000 − 125x + 0.025x 2 . If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit?The demand function for a product is p = (64 – 4x)1/2 and the supply function is p = x – 1. Find the equilibrium point. What is the consumer’s surplus? What is the producer’s surplus?
- A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollarsper unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 15000 − 125x + 0.025x^2. If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit?(Hint: profit=price−cost)A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is shown, where p is the price per unit in dollars and D is the demand per month. The company is seeking tomaximize its profit. The fixed cost is $1,000 per month and the variable cost (cv) is $40 per unit. Solve, a. What is the number of units that should be produced and sold each month to maximize profit? b. Show that your answer to Part (a) maximizes profit.Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where x is the total number of units produced. Suppose further that the selling price of its product is 1,476 −2/3x dollars per unit. (a) Form the cost function and revenue function (in dollars). C(x)=? R(x)=? Find the break-even points. x=? (b) Find the vertex of the revenue function. (x, y) =? Identify the maximum revenue. $_____=? (c) Form the profit function from the cost and revenue functions (in dollars). P(x)=? Find the vertex of the profit function. (x,y)=? Identify the maximum profit. $___=? (d)=What price will maximize the profit? $____=?
- A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 30,000 + 250x + 0.050x². If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit? Selling i units maximizes profit.A company requires two types of drills, a corded and cordless. The cord-type drill requires 1 hours to make, and the cordless model requires 3 hours. The company has 180 work hours per day for manufacturing and daily storage of 140 drills per day. If the profit for each cordless drill is $65 and the profit for each corded drill is $60. How many drills of each type should be made to maximize profit? let x = number of cordless drills produced per day let y= the number of corded drills produced per dayThe demand function for a product under pure competition is p = (64 - 4x)1/2 and the supply function is p = x - 1, where x is the number of units and p is in dollars. Find the producer's surplus at market equilibrium.
- A parking garage charges 3 dollars plus 85 cents per half-hour. A linear cost function for the solution is C(x) + _______For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 140 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit! 1. Assuming that the company sells all that it produces, what is the profit function? P(x)= ? 2.What is the domain of P(x)? 3.The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose? Profit when producing 50 items = ? Profit when producing 60 items= ? 4. Can you explain, from our model, why the company makes less profit when producing 10 more units?The Cost function C(x) and the Revenue function R(x) of a firm are given by C(x) = 4x +1200 and R(x) = 10x, respectively. What is the firm's profit/loss when it produces and sells 100 units?