Phillip, the proprietor of a vineyard, estimates that the first 10000 bottles of wine produced this season will fetch a profit of $3 per bottle. However, the profit from each bottle beyond 10000 drops...

Phillip, the proprietor of a vineyard, estimates that the first 10000 bottles of wine produced this season will fetch a profit of $3 per bottle. However, the profit from each bottle beyond 10000 drops...

Phillip, the proprietor of a vineyard, estimates that the first 10000 bottles of wine produced this season will fetch a profit of $3 per bottle. However, the profit from each bottle beyond 10000 drops...

The owner of the Rancho Los Feliz has 3120 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running parallel...

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 8 in. wide,...

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 156 in. Find the dimensions of the cylindrical package of greatest volume that may...

An apple orchard has an average yield of 32 bushels of apples per tree if tree density is 22 trees per acre. For each unit increase in tree density, the yield decreases by 2 bushels per tree. How...

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 8 in. wide,...

A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.37 per square foot, the material for the sides costs $0.05 per square foot, and the material...

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 156 in. Find the dimensions of the cylindrical package of greatest volume that may...

A certain group of test subjects had pulse rates with a mean of 84.6 beats per minute and a standard deviation of 11.6 beats per min. For some reason, I keep getting the incorrect answer for...

The demand function for a product is p=32-2q where p is the price in dollars when q units are demanded. Find the level of production that maximizes the total revenue and determine the maximum revenue...

Azhar is given a piece of wire of length Lcm to be bent into the shape of a rectangle with an area of 10.24cm2 . Find the shortest wire,l in order to achieve given task

Among all rectangles that have a perimeter of 134, find the dimensions of the one whose area is largest. Write your answers as fractions reduced to lowest terms.

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If x machines are made, then the unit cost is given...

let f(x)=sin(x)+cos(x)+tan(x)+arcsin(x)+arccos(x)+arctan(x). if m&m are maximum and minimum values of f(x), then thier arithmetic mean is equal to

Golf balls cost $0.90 each at Jerzy’s Club, which has an annual $25 membership fee. At Rick & Tom’s sporting-goods store, the price is $1.35 per ball for the same brand. Where you buy...

The constrained relative maximum of a function f(x,y) with the constraint x^2-7x+2y=16. The constrained relative maximum occurs when x = 0. What is the y-value for the point where the constrained...

Ramon wants to fence in a rectangular portion of his back yard against the back of his garage for a vegetable garden. He plans to use 68 feet of fence, and needs fence on only three sides. Find the...

graph the function

f(x)= 4x^2-8x+3