R(p) = 600p - 6p^2 maximum revenue is 15,000 how many units are sold at this price?

Q: Find two positive numbers whose product is 179 and whose sum is a minimum.

A: Let one number is = x Another number is = y

Q: A supplier of portable hair dryers will make x hundred units of hair dryers available in the market…

A:

Q: A rectangular garden of area 50 square feet is to be surrounded on three sides by a fence costing $2…

A: First lets define some variable, let x= length of fence Y = length of brick of other dimension Thus…

Q: Find three positive numbers whose sum is 300 and whose product is a maximum.

A: Let x ,y,z are 3 positive numbers such that x+y+z = 300 and xyz is maximumThe problem formed…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: To find least time Angelo has to run in shortest path.

Q: A 25-year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A 25-year old woman burns 250 – 60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: Find three positive numbers whose sum is 310 and whose product is a maximum.

A:

Q: An investment of 10,000,000 php has a revenue of x php that will increase of 10% every 2 years. With…

A: answer is in next step

Q: -0.3x(49 — х?

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given: Distance between shoreline and Anglo= 2 kilometers. Distance between Anglo's house and…

Q: The value of business, currently priced at 100000 Rial, is expected to increase by 20% a year. After…

A: The exponential growth is defined by the equation, , where r is the growth rate, P0 is the initial…

Q: 1) I ftet dt

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The number of rented rooms is so that the revenue is The total cost in overhead is

A: Since this question has many sub parts. I have answered first 3 subparts. Please repost the question…

Q: The units produced for 2018 (100000) units and at 2019 (90000) units, the total wages and cost…

A: Given: Units produced in 2018 - 100000 Units produced in 2019 - 90000 To find: Pi 2018

Q: The cost of manufacturing x units of a commodity per week is 12x + 4500. What is the average cost of…

A: Given: The cost of manufacturing x units of a commodity per week is  C=12x+4500 Formula for average…

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back at his house,…

A:

Q: A building worth ​$833,000 is depreciated for tax purposes by its owner using the​ straight-line…

A: the given equation is here we have y=727400

Q: Find two positive numbers such that the sum of the first plus 7 times the second is 2,800 and their…

A: here also given that product is maximum. let; The first number is =x and second number= y According…

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

A:

Q: The number N Iinsects in culture grew at a rate proportional to N. The value of N was initially 100…

A:

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

A: Let R, and W represents the resort and source of fresh water. Let AP=x, AW=10-x, PR=4 Then by…

Q: The annual yield per cherry tree is fairly constant at 50 pounds per tree when the number of trees…

A: We have to find how many cherry trees should be planted per acre to maximize the annual yeild for…

Q: What positive number exceeds its cube by the maximum amount?

A:

Q: A hotel rents 180 rooms at a rate of $55 per day. For each $1 increase in the rate, four fewer rooms…

A: Given that there are 180 rooms and the room rate is $55 per day.$1 increase in the price will lend…

Q: A car rental agency rents 200 cars per day at a rate of $30 per day. For each $1 increase in​ rate,…

A:

Q: D = -x' + 3 at x = 1. % =

A:

Q: What is the family of the equation y=2* linear? quadratic? or exponential? HY

A: Solve the following

Q: A 25-year old woman burns 250−60t cal/hr while walking on her treadmill. Her caloric intake from…

A:

Q: A cable TV company has 3200 customers paying $130 each month. If each $1 reduction in price attracts…

A:

Q: What is the marginal cost, marginal revenue and marginal profit when = 2500 and r = 4200 ?

A: Given, C(x)=65000+4x+0.2x2-0.00002x3p(x)=5000-0.5x

Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

A:

Q: The sum of two positive numbers is 16. What is the smallestpossible value of the sum of their…

A: Given, The sum of two positive numbers is 16. Suppose these two positive numbers are x and y The sum…

Q: Total cost of producing x units is -x² + 175x + 125 and the price at which each unit can be sold for…

A: Solution: Consider the total cost of producing cost of x units is: P(x) = 54x2 + 175x + 125 Also,…

Q: how long will it take $800 to triple if it is invested at an annual intrest rate of 5.3%

A: P=$800 , R=5.3%

Q: An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields an…

A: Given - An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields…

Q: A cable TV company has 5600 customers paying $130 each month. If each $1 reduction in price attracts…

A:

Q: A tractor spends 5 days plowing x number of fields. How many days will it take to plow y number of…

A: Given: A tractor spends 5 days plowing x number of fields.

Q: y = ln (7x³ + 5)* 4

A:

Q: aximum profit is d to nearest integer.)

A: Given R(q)=90q-0.5q2 and C(q)=13q+600

Q: The fixed costs incurred by a small genetics research lab are $200,000 per year. Variable costs are…

A: Given annual cost=$300,000  fixed cost=$200,000 variable cost=60%×300000=$180,000

Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: The number N Iinsects in culture grew at a rate proportional to N.The value of N was initially 100…

A:

Q: Find the dimensions of a rectangle with area 27000 m2 whose perimeter is as small as possible. (Give…

A: Explanation and solutions is given below.....

Q: When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2 – 230.4t + 9600 If the…

A: Given:- When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2–230.4t + 9600 To…

Q: The intrest on an investment varies directly as the rate of intrest. If the intrest is $53 when thw…

A: Simplification of simple interest

Q: A6 foot tall man is walking at a rate of 40 metres per mimite directly away from a wall with a toong…

A: Given query is to find the rate of change of height of the shadow.

Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir…

A: Given query is to find indicated unknown number.

Q: distance above the ground after t seconds is h=-12t^2+384t after how many sounds does it reach it’s…

A: