ne de Medici wants to purchase sc es at a price of 10 livre tournois. rice that she would purchase 0.3 maximize the revenue of this sale at $10 + 0.3)? naximize t

Q: When a potter sells his pots for p dollars apiece, he can sell D(p)=2500-p2 them. Suppose the pots…

A:

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: A manufacturer has RM8,000 to spend on the development and promotion of a new product. It is…

A: Derivative of a function is determined as the change of variable with respect to another variable.…

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A: The following solution is given below:

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

A: R(x) = Price x Quantity = P(x).x

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 65 bushels of fruit. She…

A: Let's find.

Q: The price of a video game is $50, and 40 games are sold each day. For each $1.00 the price is…

A: Given: The initial price = $50. Initial number of units sold = 40. Cost of making each video game =…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A: Harvest

Q: farmer finds that if she plants 55 trees per acre, each tree will yield 35 bushels of fruit. She…

A: Given query is to find the number of trees to be planted per acre.

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 35 bushels of fruit. She…

A: Given: If farmer plants 60 trees per acre, each tree will yield 35 bushels of fruit. For each…

Q: The revenue from selling an item is the number you sell, multiplied by the price you're selling it…

A: The answer is found in step-2

Q: aximize total revenue? (a) What price should have been charged to

A: Given as, Demand(q)=-4500+41500Revenue=Price×DemandRevenue(R)=p×q=-4500p2+41500p

Q: A rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

A:

Q: Farmer Ed has 150 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

A: Given perimeter of fencing = 150 meters w = x  l = 150 - 2x   we know area of rectangle = length*…

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

A:

Q: A company that produces cell phones has a cost function of C = 20x2 cost in dollars and r is the…

A: Given query is to find the value of x to minimize the cost.

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: perimeter is sum of all sides of triangle

Q: When a potter sells his pots for p dollars apiece, he can sell D(p) = 2500 − p 2 of them. Suppose…

A: Given Function for selling price,D(p)=2500-p2

Q: The daily profit, P dollars, of a ice cream vendor is mode-led by the equation P = -60(x-3)2 +140,…

A: Given equation for maximum profit is  P(x)=-60(x-3)2+140

Q: A farmer finds that if she plants 95 trees per acre, each tree will yield 25 bushels of fruit. She…

A:

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 55 bushels of fruit. She…

A: Given no of tree and yield so find the total harvest equation then for maximum harvest equal its…

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: An airline finds that if it prices a cross-country ticket at $400, it will sell 500 tickets per day.…

A:

Q: Afarmer finds that if she plants 100 trees per acre,, each tree will yield 40 bushels of fruit. She…

A:

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 40 bushels of fruit. She…

A: We need to find no. of trees.

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: The given data is: Rent is $500 per month A market survey suggests that, on average, one additional…

Q: A company that produces cell phones has a cost function of C = 27x - 492x + 18731, where C is the…

A:

Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: given ,  measure of cardboard , length =32 inches   and   breadth = 20 inches

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A:

Q: A company that produces cell phones has a cost function of C cost in dollars and a is the number of…

A:

Q: Susan wants to enclose a little rectangular garden against 1 side of her house.  She has 80 feet of…

A:

Q: You have 300 feet of fencing to construct a rectangular pen for cattle. What are the dimensions of…

A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 25 bushels of fruit. She…

A: Given :  60 trees plants  25 yield bushel  Yield decrease bu 4

Q: farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

A:

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: perimeter is sum of all side of a triangle

Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

Q: A sheet of metal that is 3m wide and 6m lone is to he used to make a rectangular eaves troug by…

A:

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

Q: The business analyst of your company has determined that the number of items sold, q, would be…

A:

Q: A company that produces cell phones has a cost function of C = 25x² – 174x + 22200, where C is the…

A: Given cost function is,

Q: The frame for a kite is to be made from six pieces of wood. The four exterior pieces have been cut…

A: The length of the sides AD=AB=aThe length of the sides BC DC b  The length of the diagonal BD is…

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A:

Q: A sheet of metal that is 3m wide and 6m long is to be used to make a rectangular eaves trough y…

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Q: moer of peces of eqipment used, pasn RU) asoddne C= 40,000x + 820,000 x >0 Using how many pieces of…

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Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A:

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 30 bushels of fruit. She…

A:

Q: A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $10 per acre.…

A: First we need to formulate the optimization problem using the given data in the question then we…

Q: 2. Suppose Kim can run at 8 miles per hour and swim at 2 miles per hour. As shown in the figure…

A:

Q: A farmer finds that if she plants 45 trees per acre, each tree will yield 75 bushels of fruit. She…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.