The below data on the production volume xand total cost y (in dollars) for a particular manufacturing operation were used to develop the estimated regression equation F = 1,062.67 + 7.92X. Production Volume Total Cost (units) ($) 400 3,900 450 5,000 550 5,500 500 5,800 700 6,400 750 7,100 (a) The company's production schedule shows that 650 units must be produced next month. What is the point estimate of the total cost (in dollars) for next month? {Round your answer to the nearest cent.) $:l (b) Develop a 99% prediction interval for the total cost (in doila rs] For next month. (Round your answers to the nearest cent.) $:|m$:| {c} If an accounting cost report at the end of next month shows that the actual production cost during the month was $7,400, should managers be concerned about incurring such a high total cost for the month? Discuss. Since $7,400 is the prediction interval, managers should concerned about incurring such a high total cost for one month