Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) the following equation. 625p? – x? = 100 If 24000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 2¢/carton/week, at what rate is the supply changing? (Round your answer to the near whole number.) (Hint: To find the value of p when x = 24, solve the supply equation for p when x = 24.) cartons per week.

Q: When the price of a certain commodity isp dollars per unit, customers demand x hundred units of the…

A: Given: x2+3px+p2=79 dpdt=-0.3$/month p=$5

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: (a) p=20+30 ln(4x+1)so,dpdx=0+304x+1ddx4x+1dpdx=304x+14dpdx=1204x+1

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

A:

Q: Suppose the supply of x units of a product at a price of p dollars per unit is given by…

A:

Q: Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per…

A:

Q: Find the consumers' surplus at a price level of p= $150 for the price-demand equation below. p= D(x)…

A:

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: Given,

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: We can answer both the question as below

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: We find rate by using derivative with respect to time

Q: Christine has been withdrawing the same amount of money from her bank account every month. The below…

A: NOTE: Refresh your page if you can't see any equations. . x=numberof months y=amount of money two…

Q: If the demand for q units of a product priced at $p per unit is described by the equation. p= 400 /…

A:

Q: Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is given…

A: Let x represent the quantity of Peppermint Bark and y represent the quantity of Biscochitos. Given…

Q: It is known that the quantity demanded of a certain make of portable hair dryer is x hundred…

A:

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

A:

Q: The annual net sales (revenue) earned by Nintendo in the fiscal years 2000 - 2014, can be…

A: R(t) = Annual net sales revenueR(t) = -3.75t3 +65.8t2-206t + 578    (billion yen per year)When start…

Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below. p=…

A:

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p = D(x) – 0.05x

A: Solution is given below : Answer: 1440

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A:

Q: Suppose the demand for a certain item is given by D(p)= -2p +6p + 7, where p represents the price of…

A: Demand function of an item is given in terms of price of the function is given, we have to find the…

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A:

Q: Suppose that x thousand units of a commodity can be sold weekly when the price is p dollars per unit…

A: So this is related rates. We already have an equation relating the desire quantities to the known…

Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 49 km/h…

A:

Q: If r = 0.05 and H = 500, for what values of p0 is the amount ofthe resource decreasing? For what…

A:

Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h…

A:

Q: Suppose that the price p (in dollars) and the weekly demand, x (in thousands of units) of a…

A: 6p+x+xp=94,  x=4,  p=9  &  dpdt=2 Differentiating with respect to t (time), we get…

Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

A: Cost function for the production of x units is : Cx=9720+80x+0.3x2 Average cost of producing x items…

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: The quantity x of super Titan radical made made each week in market placeis…

Q: Find the consumers' surplus at a price level of p= $120 for the price-demand equation below. p= D(x)…

A:

Q: If the supply function for a product is given by p =100eq/q + 1 where q represents the number of…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: Suppose a person has a total credit card debt of $600 that has a 18% yearly interest rate. This…

A: Consider the given information. The interest rate on savings provides income to the investors while…

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A:

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A:

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: The problem is related to finding the derivative of the given function.

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A:

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A:

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: The Great Recession of 2007 - 2009 is largely attributed to the real estate crisis beginning in…

A: Consider the given data. The number of Housing started from January 2006 to June 2009 is anti…

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: Consider the function: Hello. Since you have posted multiple questions. we will solve the first…

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: Given: Where y is the sales volume and p is the price per unit.

Q: For the linear equation y = 6.6 + 8.lx If x increases by 8, what is the resulting change in y?

A: Given: Interpretation of slope: For every one unit increase in x, the predicted value of y…

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: Giveny=283p+125NowRate of change of y w.r.t…

Q: The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by R(t) =…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.