calculus
posted by Mely .
A fertilizer producer finds that it can sell its product at a price of p=50001.0x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for units is c(x)=150000+1250x+0.25x^2
If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit?
x=? units
Respond to this Question
Similar Questions

statistics
A study was conducted to investigate the relationship between the cost, y (in tens of thousands of dollars), per unit of equipment manufactured and the number of units produced per run, x. The resulting equation for the line of best … 
Introduction programing visual basic
break even analysis. suppose a certain product sells for a dollars per unit. then the revenue from selling x units of the product is ax dollars if the cost of producting each unit of the product is b dollars and the company has overhead … 
calc
When production is 3000, marginal revenue is 7 dollars per unit and marginal cost is 5 dollars per unit. Do you expect maximum profit to occur at a production level above or below 3000? 
Calculus
When production is 1700, marginal revenue is 8 dollars per unit and marginal cost is 6.75 dollars per unit. Do you expect maximum profit to occur at a production level above or below 1700? 
Calculus
A company manufactures x units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C=7x^2+xy+1y^2+600. A) If the production quota for the total number of items … 
calculus
A fertilizer producer finds that it can sell its product at a price of p=300x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x)= 20,000+24x+0.5x^2. How many units must … 
maths
A company is planning to manufacture and sell a new headphone set. After conducting extensive market surveys, the research department provide the following estimates: Marginal costs function: c^' (x)=RM(40+0.4x) where x is the quantity … 
Calculus
The cost of producing commodity is C(X)=3X^2+4X+8 dollars.If the price is P(X)=(50X) dollars per unit,determine the level of production that maximizes the profit.  What is the level of production. 
Statistics
A manufacturer estimates that when x units of a particular commodity are produced each month, the total cost (in dollars) will be C(x) = 1/8x^2+4x+200 and all units can be sold at a price of p(x) = 49  x dollars per unit. Determine … 
Math
The cost of producing x units of a certain commodity is given by P(x)=1000+ int(MC(s))ds from 0 to x, where P is in dollars and M(x) is marginal cost in dollars per unit. A. Suppose the marginal cost at a production level of 500 units …