The daily production cost (in lakh ₹) of manufacturing an electric device is 𝑝(𝑥)=7400−60𝑥+15𝑥2p(x)=7400−60x+15x 2 , where 𝑥x is the number of electric devices produced per day and the daily transportation cost (in lakh ₹) of 𝑥x number of electric devices is given by the slope of the function 𝑝(𝑥)p(x) at point 𝑥x.How many electric devices should be produced per day  to yield minimum production cost?

The demand function of a product for a manufacturer is 𝑝 (𝑥) = 𝑎𝑥 + 𝑏. The manufacturer knows that he can sell 1250 units when the price is GHS5 per unit and he can sell 1500 units at a price of GHS4 per unit. Find the total, and average revenue functions.

A manufacturer determines that m employees will produce a total of q units each week. The relation between the number of employees and the quantity is given as: 𝑞 = 5𝑚2 + 2𝑚 + 4. Given that the demand function for the product is given as 𝑝 = 1000 𝑞+8 , determine a. The rate of change of price with respect to quantity b. The rate of change of price with respect to the number of employees c. Determine the marginal revenue when the number of employees is 15

The manager of a furniture factory finds that it costs $2400 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.C = 0.25d+390 Sketch the graph. (b) What is the slope of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of operating the factory daily.It represents the cost (in dollars) of producing each additional chair.(c) What is the y-intercept of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of producing each additional chair.It represents the fixed daily cost (in dollars) of operating the factory. Viewing Saved Work Revert to Last Response17.[–/6 Points]DETAILSSESSCALC2 1.2.014.MY NOTESASK YOUR TEACHERPRACTICE ANOTHERThe monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $505 to drive 460 mi and in June it cost her $565 to drive 700 mi.(a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.C(d) = (b) Use part (a) to predict the cost of driving 1100 miles per month.$ (c) Draw the graph of the linear function. What does the slope represent?It represents the fixed cost (amount she pays even if she does not drive).It represents the cost (in dollars) of driving.    It represents the cost (in dollars) per mile.It represents the distance (in miles) traveled.(d) What does the y-intercept represent?It represents the fixed cost (amount she pays even if she does not drive).It represents the distance (in miles) traveled.    It represents the cost (in dollars) of driving.It represents the cost (in dollars) per mile.(e) Why does a linear function give a suitable model in this situation?A linear function is suitable because the monthly cost increases as the number of miles driven decreases.A linear function is suitable because the monthly cost increases even if the miles driven is constant.    A linear function is suitable because the monthly cost is fixed despite the fact that the miles driven may vary.A linear function is suitable because the monthly cost increases as the number of miles driven

The cost for a company to produce x smartphones can be modeled by C(𝑥)=2𝑥+35C(x)=2x+35 and the company's total profit after selling x smartphones can be modeled by P(x) = -x2 + 120x - 435. Which function represents the company's revenue for selling smartphones? (Recall that profit equals revenue minus cost.)A.R(𝑥)=−𝑥2+118𝑥−470R(x)=−x 2 +118x−470B.R(𝑥)=−𝑥2+122𝑥+400R(x)=−x 2 +122x+400C.R(𝑥)=−𝑥2+122𝑥−470R(x)=−x 2 +122x−470D.R(𝑥)=−𝑥2+122𝑥−400R(x)=−x 2 +122x−400SUBMITarrow_backPREVIOUS

The marginal cost function for producing x units is 3x2 – 200x +1500 rupees. Find the increase in cost if production is increasedfrom 90 to 100 units.