Suppose that x and y represent the amounts of two basic inputs for a production process and that the equation 81x" 7y079 -4115 describes all input amounts where the output of the process is 4115 units. dy a) Find b) What is the marginal rate of substitution of x for y when x = 16 and y = 128? xp a) dx (Simplify your answer.) b) The marginal rate of substitution of x for y when x= 16 and y= 128 is (Simplify your answer.)

Q: 12)Estimate rio by using a linear approximation at aこ 9. timi

A:

Q: A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water containing…

A:

Q: The volume of fluid in an IV (intravenous) drop decreases according to the mathematical model…

A: The  given model of the volume of fluid in IV drop versus time is:   V=-0.110t+1   Where, V is the…

Q: 3. When r thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

A:

Q: Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What…

A: Given Rx=6x3-αx2 To find the value of α when average value is $20 for x=10

Q: Use a linear approximation to estimate v100.5. Show your work.

A:

Q: The FlowStop Company determines that the marginal cost for the new line of faucet is given by (i)…

A: Solution

Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

A: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

Q: 4. Use differential to estimate v15. (3 points total)

A:

Q: The total cost of producing 1 unit of a product is C(x, y) = 26 + 8x + 6y + AY 56 dollars where x is…

A: Let x be the cost per pound of raw materials and y be the cost per hour of the labor. Part (a)…

Q: 4. By market analysis, the SatSet Satellite TV Company determines that their marginal revenue…

A: Consider the given information.

Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: The productivity of a country is given by f(x,y) = 100x0.6°y0.37, where x is the amount of labor and…

A:

Q: Assume that it costs a company approximately C(x) = 529,000 + 160x + 0.001x2 dollars to manufacture…

A:

Q: The Technolozic Corporation has determined that its marginal cost function is given by C'(t) =…

A:

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 50 + 7x2 + 8y2, where x…

A: Differentiate wrt x and y

Q: John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID…

A:

Q: Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2?2 + 6? +…

A: Given, Total cost of manufacturing x units of a certain commodity =  C(x) =  2x2 + 6x + 12 We need…

Q: A Commodity hasa demand fanctionm modeled by pe lo- and a total Cost flunction modeled by…

A: F

Q: The Technolozic Corporation has determined that its marginal cost function is given by C'(t) =…

A: Given,  C'(t)=te-0.15t    Where t is time in years  and  C(0) = 2   We have to find Ct

Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

A:

Q: Assume that it costs a company approximately C(x) = 625,000 + 160x + 0.001x² dollars to manufacture…

A: Let's find.

Q: Suppose that the production function for a product is given by z=x´In(xy) , where x is the labor…

A: The production function for a product is  z = x2ln(xy) To find marginal productivity equation of y,…

Q: 2. An explosion is recorded by two microphones that are 2 miles apart. Microphone M, received the…

A:

Q: Assume that a company's marginal cost function for the manufacture of x phones per hour is c(x) =…

A:

Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius…

A: Given: r=5.8 in∆r=±0.021 in

Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

A:

Q: Rescarchers have determined that the crown length of first molars in fetuses dhe 11. is related to…

A:

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(

A:

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 6x2 + 6y2, where x…

A:

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w>0,A>1 Also, Ak=Aw-x*

Q: Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipes as shown in…

A: Let x(t) and y(t) be the mass of salt in tanks T1 and T2 respectively. Fresh water follows into tank…

Q: A liquid form of antibiotic manufactured by a pharmaceutical firm is sold in bulk with a total…

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

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

A:

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 3x2 + 5y2, where…

A: C(x, y) = 15 + 3x2 + 5y2, x is the cost per pound for material and  y is the cost per hour for…

Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres…

A:

Q: Suppose that Omar's marginal utility for cups of coffee is constant at 1.5 utils per cup no matter…

A:

Q: d) Without expanding, calculate the marginal function for: TC = (2Q2 – 3Q + 7)5 %3D

A: Given

Q: Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and…

A:

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: Given,         A company determines that its marginal revenue per day is given by R't, where…

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

A:

Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…

A:

Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of…

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We will find value of function inside integral and then find end points of interval .At end will…

Q: Suppose that the marginal propensity to save is ds = 0.95 - dy In(y + 1) (in billions of dollars) y…

A: According to question given :dSdy=0.95-lny+1y+1Consumption is $6.03 when disposable income is $0

Q: Suppose thát the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A:

Q: Use the marginal analysis criterion covered in class to find the number of units x that produces the…

A:

Q: A company has two plants that produce the same lawn mower. If x, and x, are the numbers of units…

A:

Q: Suppose there is a population of rabbits that (when left alone) experiences population growth at a…

A: Proportionality is between two variables when when they yield fixed ratio, with certain constant…