I would appreciate it if you could please show me the steps and formulas used to get to the answers--thank you!

Problem 14-49 ake or Buy 14-4, 14-5) Casting Technology Resources (CTR) has purchased 10,000 pumps annually from Kobec, Inc. Because the price keeps increasing and reached $68.00 per unit last year, CTR's management has asked for an estimate of the cost of manufacturing the pump in CTR's facilities. CTR makes stampings and castings and has little experience with products requiring assembly. The engineering, manufacturing, and accounting departments have prepared a report for nanage- ment that includes the following estimate for an assembly run of 10,000 pumps. Additional production employees would be hired to manufacture the pumps but no additional equipment, space, or supervision would be needed. The report states that total costs for 10,000 units are estimated at $957,000, or $95.70 per unit. The current purchase price is $68.00 per unit, so the report recommends continued purchase of the product. Components (outside purchases) $120,000 Assembly labor 300,000 Manufacturing overhead 450,000 General and administrative overhead 87,000 Total costs $957,000 "Assembly labor consists of hourly production workers 'Manufacturing overhead is applied to products on a direct labor dollar basis. Vantable overhead costs vary dosely with direct-labor dollars. Fixed overhead 50% of direct.labor dollars Variable overhead 100% of direct labor dollars Manufacturing overhead rato 150% of direct labor dollars General and administrave Overhead is applied at 10 percent of the total cost of material for components, assembly labot, and manufacturing overhead Required: Was the analysis prepared by Casting Technology Resources' engineering, manufactur- ing, and accounting departments and their recommendation to continue purchasing the pumps correct? Explain your answer and include any supporting calculations you consider necessary