A small business has found that the cost to produce x units of its product can...

 

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A small business has found that the cost to produce x units of its product can be modeled as a linear function. The monthly cost to produce 150 units is $1656 while it costs $1968 to produce 450 units. You must show your work on all parts! a. Let x be the number of units produced. Find a linear function for the monthly cost function. b. Report the fixed cost, variable cost, and marginal cost. Include correct units. c. If the revenue function is given by R(x) = -0.0005 ^2+4.25x, report the profit function. What is the minimum number of units the business needs to produce and sell in order to make a profit? Do not just do this on the calculator. Show algebraic steps. Round appropriately. Include correct units. A small business has found that the cost to produce x units of its product can be modeled as a linear function. The monthly cost to produce 150 units is $1656 while it costs $1968 to produce 450 units. You must show your work on all parts! a. Let x be the number of units produced. Find a linear function for the monthly cost function. b. Report the fixed cost, variable cost, and marginal cost. Include correct units. c. If the revenue function is given by R(x) = -0.0005 ^2+4.25x, report the profit function. What is the minimum number of units the business needs to produce and sell in order to make a profit? Do not just do this on the calculator. Show algebraic steps. Round appropriately. Include correct units.