9. Suppose you sell Dried Chile Mangoes and Biscochitos, each by the pound. Your profit function is given by P = 10x + 6y – .02x² – .01y² – 3, where x represents the pounds of chile mangoes sold and y represents the pounds of biscochitos sold. Now, say you want to see what would happen if, at your current level of sales (25 lbs of chile mangoes and 30 lbs of biscochitos) you added one more pound of chile mangoes. In other words, find the rate of change of profit with respect to chile mangoes when 25 lbs of mangoes and 30 lbs of biscochitos are sold. Now tell me what that means in the real world using complete sentences.

Q: ind both the consumer's and producer's surplus if for a product D(x) = 46x, S(x) = 14 + 2x 2 . Round…

A:

Q: 5x2 2 If the profit function is P(x) 3 **+ 2x - 10for producing a product, find the marginal %3D 3x…

A:

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

A: The producer's surplus for a supply function g(x) at equilibrium is as follows. PS=p1x1-∫0x1gxdx

Q: How many masks must Lakisha make a week to break even if her profit function is P(x) = 19x -500?…

A:

Q: Carrie, marine biologist is performing experiments along the continental slope off of the coast of…

A: Now the speed of the current at the depth of the robot as a function of time is,

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: You are selling fidget spinners for $32 each. If it costs you C(x)=9+x^4 dollars to produce x fidget…

A: We are selling fidget spinners for $32 each.  We are C(x)=9+x^4 dollars to produce x fidget…

Q: 4. The profit function of Firm GG is n=-2q2+280q. What is the profit maximizing quantity?What is the…

A:

Q: As the selling price of a product increases, demand decreases. Fewer people will buy a product if it…

A:

Q: I like to take in account how much I’m going to set aside for savings that month as well as…

A: If a person saves $400 per month and spends $1000 on bills per month then let 'x' be the number of…

Q: A manager wishes to predict the annual cost (y) of an automobile based on the number of miles (x)…

A: According to the given information, we have Given that a manager wishes to predict the annual cost…

Q: 5. Suppose the weekly cost, C, in dollars, of eliminating p percent of the pollution from the…

A:

Q: Find the price per unit that makes the maximum profit p if c(x)= 45+76x and p=96-2x

A: Given c(x)=45+76x and p=96-2x

Q: The cost function for a weekly manufacture of headphones is given by C(2) = 150, 000 + 20r + 0.012…

A: solution:-

Q: The Hydro water department has a monthly service charge of $15 10 and a volume charge of $2 25 for…

A: Let y1 be the monthly cost of the family income in the last month. Let y2 be the monthly cost of the…

Q: The revenue function of a company that sells its product at a fixed price of OMR 220 per unit and…

A: Solution

Q: What would the revenue function be

A: As we see Demand function Dx=-0.095x+4.545

Q: If a company A manufactures t-shirts and sells them to retailers for $9.80 each. It has fixed cost…

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the…

A: Given that demand function is: p(x) = 20.9 - 1.6x we need to write the revenue function.

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

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.