Rita burns 10 calories per minute running and 8 calories per minute lifting weights. Write an objective function z = f(x, y) that represents the total number of calories burned by running for x minutes and lifting weights for y minutes.

Q: A landscaping company charges $43 per cubic yard of mulch plus a delivery charge of $20. Find linear…

A: Given that

Q: A courier company makes deliveries with two different trucks. Truck A costs $0.69/mi to operate and…

A: Here we will find the objective function,

Q: A retailer has been selling 2,000 computers a week at $850 each. The marketing department predicts…

A:

Q: let C( x)  be the cost to produce x batches of widgets, and let R(x)  be the revenue in thousands of…

A: Given, Rx=-45x2+10x and Cx=2x+15. a) The graph of Rx=-45x2+10x and Cx=2x+15 is as follows:

Q: A donut shop makes a profit of $2.40 on a dozen donuts and $0.55 per muffin. Write an objective…

A: Given,A donut shop makes a profit of $2.40 on a dozen donuts and $0.55 per muffin. Write an…

Q: At a home store, one sheet of -in. sanded pine plywood costs $24. One sheet of -in, sanded pine…

A: Let number of sheets of 3/8-in. sanded pine plywood be x and the number of 1/4-in.sanded pine…

Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales,…

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the…

Q: Is f (x) = (3x - 2) - (2x + 1) a linear function? Explain your answer.

A: To check: Whether the given function is linear or not. Given information: The function is…

Q: The revenue function for a sporting goods company is given by R(x) = x • p(x) dollars where x is the…

A:

Q: Given the revenue function for emergency kits, R(x)= x(30,000 – 75x) that the company can make by…

A: The given revenue function is: R(x)=x(30000-75x)        =-75x2+30000x To maximize the revenue, let…

Q: The total monthly cost of a family plan depends on the number of phones, p, and the GB of data used,…

A: Given that the total monthly cost of a family represent by the function  C(P, G) = 18P + 2.25G

Q: A parking garage charges 3 dollars plus 85 cents per half-hour.  A linear cost function for the…

A:

Q: The HAC at Humberview has decided to sell Gatorade to raise money. The demand function is describe…

A: This is a problem of Maxima and minima of the function. Revenue function = X*Demand function. Profit…

Q: what is the linear function for y=-x+2?

A: We need to show linear function for y.

Q: Stuffco Industries makes model airplanes and wants to know their average cost and revenue at a…

A:

Q: The demand function for a particular brand of LCD TV is given by  p = 2970 − 30x  where p is the…

A: Let's find.

Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: A company that produces cell phones has a cost function of C(x) = x- 1200x + 36400, where C is the…

A: Given C(x)=x2-1200x+16400

Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

A:

Q: For Exercise, identify the location and value of any relative maxima or minima of the function. 2 y…

A: A relative maximum is a point where a curve goes from increasing to decreasing.  A relative minimum…

Q: The demand equation for a toy is p= 140 – 3x and the cost function is C(x) = 60 + 60x – x, 0sxs 30.…

A: The cost function is:Cx=60+60x-x2The demand function is p=140-3x To determine the price that…

Q: The revenue for tractors at a price of p dollars per tractor is R(p)=−0.5p^2+1900p+ 1000.  What…

A: Given :  R(p) = - 0.5p2 + 1900p + 1000

Q: Is the function y = 2x2 + 4 linear or nonlinear? a Linear b Nonlinear

A: To determine if an equation is a linear function, it must have the form y = mx + b (in which m is…

Q: During sales hour in a supermarket, Cynthia measures her urgency from buying x bags of candies and y…

A:

Q: The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the…

A: Revenue function for a sporting goods company Rx=x·px where given px expression is  px=600-0.5x Plug…

Q: Find the minimum value of the function f(x) = 2x² + 18.3x + 45 to the nearest hundredth.

A: Given function f(x)=2x2+18.3x+45

Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

A: f(x)=1392-3x The company's revenue is R(x)=x(1392-3x)R(x)=1392x-3x2 Now we need to find out the…

Q: The function C(x) = x² + 30x + 400 gives the cost, C, to make x items. a) What do we need to divide…

A: Note the relation between total cost and average cost :   where n is the number of item produced .

Q: The cost for an animal shelter to spay a female cat is $82 and the cost to neuter a male cat is $55.…

A: Given, The cost for an animal shelter to spay a female cat is $82 and the cost to neuter a male cat…

Q: The annual revenue and cost functions for a manufacturer of zip drives are approximately…

A:

Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: A diner makes a profit of $0.80 for a cup of coffee and $1.10 for a cup of tea. Write an objective…

A: Let x be the number of cups of coffee sold and y be the number of cups of tea sold. Given that the…

Q: Graph the linear function:

A: Since, we have to graph the linear function:-y=-32x+2   -(i)→Putting the value of 'x'  in equation…

Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

A:

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: During sales hour in a supermarket, Cynthia measures her urgency from buying x bags of candies and y…

A: Cynthia has USD 500 to spend and each bag of candies and each bar of chocolate cost USD 15.0 and USD…

Q: The revenue function for a bicycle shop is given by R(x) = x p(x) dollars where x is the number of…

A: Form the condition statement to find the R(x) differentiate to find the values of point of maxima

Q: The manufacturer of color televisions can sell 1100 sets to his dealers at $350 each. If the price…

A:

Q: he marketing department at XYZ Company has found that, when Product ABC is sold at a price of…

A: x=260-13p , p is the price of the product and x is the number of product sold. To Find: a) Find the…

Q: The revenue function for a bicycle shop is given by R(x)=x⋅p(x) dollars where x is the number of…

A: For maximum value of Revenue consider R'(x)=0

Q: A courier company makes deliveries with two different trucks. Truck A costs $0.80/mi to operate and…

A:

Q: For a certain company the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Since you have asked multiple part question, we will solve the first 3 part question for you as per…

Q: The cost for an animal shelter to spay a female cat is $82 and the cost to neuter a male cat is $55.…

A: Given that, the cost to spray a female cat is $82 and the cost to neuter a male cat is $55.

Q: During sales hour in a supermarket, Cynthia measures her urgency from buying x bags of candies and y…

A:

Q: rge corporation with monopolistic control in the marketplace has its average daily costs, C = 600 +…

A: Cx=xCx=x600x+100x+x2=600+100x2+x3 x is the daily demand of the product Demand Function is given as…

Q: The weekly revenue from the production and sale of x units of salt is given by R(x) = 172x – 2x²…

A: Given,  Revenue function: Rx = 172x-2x2   Cost function : Cx = 2x2+148x+6            Where 0≤x≤10…

Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

A:

Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

A: Maximum or minimum value of a function occurs for the input value obtained by equating the…

Q: The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the…

A: p(x)=600−0.4x The revenue function  R(x)=x⋅p(x)=x(600−0.4x) R(x)=600x-0.4x2

Q: A courier company makes deliveries with two different trucks. Truck A costs $0.62/mi to operate and…

A: Let x be the number of miles that the truck A traveled and y be the number of miles that the truck B…