Frost$-$Byte is planning to introduce a new product that will sell for $$12$ a unit. A total of $100,000$ units will be produced during the first year. Direct materials are projected to be $$100,000$ and labour costs amount to $$80,000.$ The wage rate is $$8$ per hour and $10,000$ labour hours are projected.

Manufacturing overhead costs have not been estimated for the new product, but monthly data on total production and overhead costs for the past $24$ months have been analyzed using simple linear regression. The following results were derived from simple regression and provided the basis for overhead cost estimates for the new product. The coefficient of independent variable represents the variable overhead rate. The cost driver for variable overhead is direct labour hours.

Simple Regression Analysis Results

Dependent variable: Factory overhead costs

Independent variable: Direct labour hours

Computed values are as follows:

Intercept $$120,000$

Coefficient of independent variable $$6\mathrm{.}40$

Coefficient of correlation $0\mathrm{.}958$

Coefficient of determination $0\mathrm{.}918$

If your answer in Frost$-$Byte Part $4$ is used as the variable cost coefficient, what would the manufacturing cost equation be$,$ whereby x refers to units produced?

Multiple Choice

TC $=$ $$80,000+$ $$2\mathrm{.}22$x

TC $=$ $$100,000+$ $$6\mathrm{.}40$x

TC $=$ $$110,000+$ $$2\mathrm{.}44$ x

TC $=$ $$120,000+$ $$0\mathrm{.}91$x

TC $=$ $$120,000+$ $$2\mathrm{.}44$x