The management of Titan Tire Company has determined that the weekly demand and supply functions for their Super Titan tires are given by p=144-x^2 p=48+1/2x^2 respectively, where p is measured in dollars and x is measured in units of a thousand. Find the equilibrium quantity and price.

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

Q: Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Suppose numbers are x and y then  xy=100    ....(1)

Q: A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the…

A: Follow the procedure given below.

Q: Find two positive numbers whose sum is 15 so that the sum of their square is minimum,

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A: Solution is given below:

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A: Volume= x2y= 16 So, y= 16/x2   total cost:

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A:

Q: 1. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers are x and y.   It is known that to minimize a function we have to equate the first…

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A:

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A: Ok, assume pool to be full with water initially,    So, initial water level = 7 ft. = 7*12 inches…

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A: Given,  Marginal Cost, MC = 30 + 1/2x marginal Revenue, MR = $46 Daily Fixed Cost = $200

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A:

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A: MatLab Code: %Open-Loop systems = tf('s');Gs = 0.39s+1.5; %Open-Loop system responsedisp('Open-loop…

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A:

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A: The cost of laying a power line underwater is 2 times that of underground. An island is 5 km from…

Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

A:

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A: Critical point and extreme points

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A: Selling price of the latest product is $8 Fixed cost = $7800 per month Let the number of units sold…

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A: Price elasticity of supply= (% change in quantity supplied)/ (% change in price)

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Q: A rectangular box is to have a square base and a volume of 40 ft³. If the material for the base…

A: The base of the box is square-shaped. Thus the top part will also be square. Let 'x' be the length…

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A:

Q: A small resort is situated on an island that lies exactly 4 miles from P, the nearest point to the…

A: We need to find the cost function and minimize it to find the required answer. To minimize cost…

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A: Total production cost : C(x)=500,000+80x+0.003x2

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A: The demand equation for an item is D(x)=-5x+80. It is given that, a supplier is willing to supply 10…

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

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A: Considering a typical firm that wants to minimize the total cost of producing a particular level of…

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A: Consider the given marginal cost function as M(q) = 3(q-4)2 Let C(q) denote the total cost of…

Q: price

A: At Equilibrium, Demand = Supply,

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A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

Q: I am confused how to find the critical point

A: To find the critical point you need the step 2:

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A: Here we have to find the break even point. We know that break even point is the point where total…

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Q: The equation of the line with gradient 4 which passes through the point (1,2) is: O y = 2x – 4 y =…

A: Equation of line can be taken as y=mx+c

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A: Let Y: Height of a shrub X1: Amount of bacteria in the soil X2=1 ; If the plant is in full sun0 ; If…

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A: to solve the given problem

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A: To find the average cost

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A: To find out the critical points and denote it's nature.

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A: