The profit function for the Haggard Apple Orchard’s out-of-state sales is P(x) = -x^2 + 276 – 11,454, where x is the number of pounds of apples in hundreds and P(x) is the profit in dollars. How many pounds should be sold out of state to produce a maximum profit, and what is that profit?
For this one I got- 1,350 pound should be sold, and the maximum profit is $11,271.75
Posted in Fruit Orchards
Tagged apple orchard, Apple Orchardâ, apples, function, haggard, maximum, maximum profit, number, problem, profit, profit function, State, word, word problem
A rectangular garden has dimensions of 21ft by 14ft. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 450 square feet?
Posted in Squarefoot Gardening
Tagged algebra, garden, gravel, gravel path, path, Problem-help, rectangular garden, square feet, width, word, word problem
Miss Davis wants to enclose a rectangular area for a garden space of a given square footage. The length of the plot will vary inversely as the width. If she decides on the width of 18 feel, the garden will be 30 feet long. How will a 45 foot wide garden be
if you will just tell me how to put this word problem into an equation and help me with it because i am a dyslexic and i don’t understand words problems. there frustrating.
Posted in Squarefoot Gardening
Tagged area, enclose, footage, garden, garden space, length, miss davis, plot, problem, rectangular area, space, square footage, width, word, word problem
Suppose you want to make a rectangular garden with an area of 200 square feet. You want to use the side of your house for one side of the garden and use fencing for the other three sides. Find the dimensions of the garden that minimize the length of fencing needed.
Thanks.
Posted in Squarefoot Gardening
Tagged area, fencing, garden, house, length, problem, rectangular garden, side, square feet, use, word, word problem
John used 96 feet of fence to enclose a rectangular garden. If the area is 512 square feet, what are the dimensions of the garden?
Posted in Squarefoot Gardening
Tagged area, enclose, Factoring, fence, garden, John, problem, rectangular garden, square feet, word, word problem
dang word problem
Suppose you have 80ft of fence to enclose a rectangular garden.The function A=40x-x squared gives you the area of the garden in square feet,where x is the width in feet.
a.What width gives you the maximum gardening area?
b.What is the maximum area?
Posted in Squarefoot Gardening
Tagged dang, Functions, homework, Math, math homework, problem, Quadratic, quadratic functions, word, word problem
a landscape architect designed a circular garden with a radius of p – 5 feet. what is the area, in square feet, of the garden in terms of p? (the area of a circle of radius r is π2^)
the answers are
π(p2^ – 25)
π(p2^ – 10p – 25)
π(p2^ + 10p +25)
π(p2^ – 10p + 25)
Posted in Squarefoot Gardening
Tagged architect, area, area of a circle, circle, circular garden, garden, landscape, landscape architect, problem, radius, square feet, word, word problem
A peach orchard owner wants to maximize the amount of peaches produced by his orchard.
He has found that the per-tree yield is equal to 900 whenever he plants 40 or fewer trees per acre, and that when more than 40 trees are planted per acre, the per-tree yield decreases by 30 peaches per tree for every extra tree planted.
For example, if there were 35 trees planted per acre, each tree would produce 900 peaches. If there were 45 trees planted per acre, each tree would produce 900 – 30 * (45 – 40) peaches, which is roughly equal to 750 peaches.
Find function that descibes the tree per yield (Y), in terms of x
1. Y = _____ if x is no more than 40 trees per acre
2. Y= ______if x is greater than 40 trees per acre
3. Find the total yield per acre, T, that results from planting x trees per acre.
a. T =____if x is no more than 40 trees per acre
b. T = _____ if x is greater than 40 trees per acre
Posted in Fruit Orchards
Tagged amount, optimization, orchard, owner, peach, peach orchard, peaches, problem, word, word problem
The length of Judy’s rectangular garden is 6 feet more than its width. A walkway of 3 feet wide surrounds the outside of the garden. The total area os the walkway is 288 square feet. Find the dimensions of the garden.
Help please?! I’ve drawn pictures but I’m not good with this type of stuff.
Posted in Squarefoot Gardening
Tagged 3 feet, rectangular garden, square feet, walkway, word problem
A square garden has a gate at the center of the east wall. A pole (P) is located 50 feet outside the garden to the north, on a line that perpendicularly bisects the north wall. Jeff (J) walks out through the center of the east gate , perpendicularly to the east wall, and he is first able to see the pole when he is exactly 98 feet from the east edge of the garden. What is the length of the north wall?
The diagram would look something like this
. P
_______________
| |
| |
| the garden | . J
| |
| |
|_______________|
though the spaces didn’t work out well, the wall should be further over, in line where the top and bottom lines end, and J be further out so that he can see P
THE DUDE: The pole isn’t along the wall, and they are both perpendicular to the wall, Jeff 98 feet from the easternmost wall, the pole 50 feet from the north wall
