Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of
V(x) = 0.000003x3 − 0.03x2 + 200x
dollars, where x denotes the number of units manufactured per month. The monthly fixed cost attributable to the division that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total revenue function
R(x) = −0.1x2 + 500x (0 ≤ x ≤ 5000)
where R(x) is measured in dollars.
To find: The function which gives the total cost incurred by the manufacture of smartphones.
The variable cost by the Apollo manufacture smartphones is,
The monthly fixed cost is .
The revenue function by the Apollo manufacture of smartphones is,
The cost function is the sum of variable cost and the fixed cost.
To find: The total profit function.
To find: The profit when 1500 units are produced and sold each month.
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