(1 point) A local retailer has determined that the number x of PortaBoy game systems sold...
When the admission price for a baseball game was $4 per ticket, 54,000 tickets were sold. When the price was raised to $5, only 48,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $95,000 respectively. (a) Find the profit P as a function of x, the number of tickets sold. P(x) = (b) Select the graph of P. y 150000 150000 150000 100000...
(1 point) A manufacture has been selling 1100 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week. a) Find the function representing the demand p(x), where x is the number of the television sets sold per week and p(x) is the corresponding price. P(x) = b) How large rebate should the company offer to a buyer, order to...
Based upon market research, the Hawthorne Company has determined that consumers are willing to purchase 133 units of their portable media player each week when the price is set at $46.20 per unit. At a unit price of $11.80, consumers are willing to buy 305 units per week. (a) Determine the weekly demand equation for this product, assuming price, p, and quantity, x, are linearly related. p (b) Determine the weekly revenue function. R(x) (c) Determine the number of units...
Question 1 3 pts Profit Analysis Unendo, is a large computer game manufacturer. DESTINY V They have estimated that the demand function for their game "Destiny 3" is as follows... p = 95 -0.054 where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is... Cla) = 294 + 5000 where the fixed cost is $5000 and the marginal cost is $29...
Please explain (1 point) The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x- 81 vp + 20-350 Find the supply and instantaneous rate of change of supply when the price is 75 dollars. Supply Instantaneous rate of change of supply - stereo speakers speakers per dollar (1 point) The number x of stereo speakers a retail chain is willing to sell per week at...
(***Round all the answers and intermediate calculations to two decimal places***) Question 1 (50 Marks) The marketing manager of a local convenience store chain is conducting an investigation of the price effects of Brand A (P) and its competitor (Ps) on the quantity sold of Brand A beer in year 2016. The following model has been estimated: Sale_4 - Be + B,PA+BP3 + e for a sample of 52 weekly observations. Sale 4: number of bottles of Brand A sold...
1. A company has determined that if the price of an item is $ 40, then 150 will be demanded by consumers. When the price is $ 45, then 100 items are demanded by consumers(a) Find the price-demand equation, assuming that it is linear. ( 2 marks)(b) Find the revenue function. (1 mark)(c) Find the number of items sold that will give the maximum revenue. What is the maximum revenue? (4 marks)(d) What is the price of each item when...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time is given by the equationAt2 B where A-2.10 and B-2.80 and t is in seconds. (i) What are the proper units for A and B in SI units (show your work) (ii) Determine the displacement of the particle during the time interval from -3.00 s to 12 5.00 s. iii) Determine the average velocity (think secant line!) during this time interval (iv) Determine the...