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Annual profit in thousands of dollars is given by the function, P(x) = -.1x2 50x - 300, where x is
the number of items sold, x ? 0.
describe the meaning of the number -.1 in the formula
describe the meaning of the number -300 in the formula
find the profit for 5 different values of x
graph the profit function over its given domain; use the 5 values calculated in part 3 to construct
the graph and connect these points with a smooth curve in Excel or another graphing utility.
Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.
will this profit function have a maximum, if so, what is it?
what steps should the company take to prepare for your answer to part 5?
Post your final draft as a response to this post; use the small group area for collaboration
Solution
a) the -0.1x^2 represents variable costs which vary with x^2 b) the - 300 represent fixed costs
which are constant regardless of x, and c) the + 50x represents the income which varies directly
with x

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Annual profit in thousands of dollars is given by the function- P(x) - (1).docx

  • 1. Annual profit in thousands of dollars is given by the function, P(x) = -.1x2 50x - 300, where x is the number of items sold, x ? 0. describe the meaning of the number -.1 in the formula describe the meaning of the number -300 in the formula find the profit for 5 different values of x graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a smooth curve in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread. will this profit function have a maximum, if so, what is it? what steps should the company take to prepare for your answer to part 5? Post your final draft as a response to this post; use the small group area for collaboration Solution a) the -0.1x^2 represents variable costs which vary with x^2 b) the - 300 represent fixed costs which are constant regardless of x, and c) the + 50x represents the income which varies directly with x