Problem 4

Question

Green Thumb Inc. is planning to invest \(\$ 238,000\) in a new garden tool that is expected to generate additional sales of 8,000 units at \(\$ 36\) each. The \(\$ 238,000\) investment includes \(\$ 54,000\) for initial launch-related expenses and \(\$ 184,000\) for equipment that has a 15 -year life and a \(\$ 10,000\) residual value. Selling expenses related to the new product are expected to be \(5 \%\) of sales revenue. The cost to manufacture the product includes the following per unit costs: \begin{tabular}{lr} Direct labor & \(\$ 6.00\) \\ Direct materials & \(11.75\) \\ Fixed factory overhead-depreciation & \(1.45\) \\ Variable factory overhead & \(1.80\) \\ \(\quad\) Total & \(\$ 21.00\) \\ \hline \end{tabular} Determine the net cash flows for the first year of the project, years 2-14, and for the last year of the project.

Step-by-Step Solution

Verified
Answer
Year 1: $51,600; Years 2-14: $105,600 per year; Year 15: $115,600.
1Step 1: Calculate Total Revenue
The total sales revenue is calculated by multiplying the number of units sold by the price per unit. In this case, the company expects to sell 8,000 units at \(36 each. Therefore, the total revenue is:\[\text{Total Revenue} = 8,000 \times 36 = \\)288,000\]
2Step 2: Calculate Total Costs Per Unit
Summarize all the manufacturing costs per unit: - Direct Labor: \(6.00 - Direct Materials: \)11.75 - Fixed Factory Overhead (Depreciation): \(1.45 - Variable Factory Overhead: \)1.80Add these costs to find the total cost per unit:\[\text{Total Cost Per Unit} = 6.00 + 11.75 + 1.45 + 1.80 = \$21.00\]
3Step 3: Determine Total Manufacturing Cost
Multiply the total cost per unit by the total number of units to get the overall manufacturing cost:\[\text{Total Manufacturing Cost} = 21.00 \times 8,000 = \$168,000\]
4Step 4: Calculate Total Selling Expenses
The selling expenses are 5% of the sales revenue:\[\text{Selling Expenses} = 0.05 \times 288,000 = \$14,400\]
5Step 5: Calculate Net Cash Flow for Year 1
Compute the net cash flow for the first year by subtracting the total manufacturing cost, selling expenses, and initial launch expenses from the total revenue. Equipment cost is given as depreciation expense for the first year:\[\text{Net Cash Flow Year 1} = 288,000 - 168,000 - 14,400 - 54,000 = \$51,600\]
6Step 6: Calculate Net Cash Flow for Years 2 to 14
For subsequent years, the launch expenses do not occur. Only subtract the manufacturing cost and selling expenses from the total revenue. The depreciation of the equipment is not directly subtracted as an expense, but noted as a theoretical non-cash expense:\[\text{Net Cash Flow Years 2-14} = 288,000 - 168,000 - 14,400 = \$105,600\]
7Step 7: Calculate Net Cash Flow for Year 15 (Final Year)
In the last year, consider the residual value of the equipment as part of the cash flow. Add the residual value to the cash flow of year 2-14 since it is an additional cash inflow:\[\text{Net Cash Flow Year 15} = (288,000 - 168,000 - 14,400) + 10,000 = \$115,600\]

Key Concepts

Investment AnalysisCost ManagementDepreciation Calculation
Investment Analysis
Investment Analysis is a vital step in determining whether an investment will be profitable over time. In the Green Thumb Inc. scenario, understanding the potential success of a new garden tool involves evaluating various cash flows and expenses. The initial investment of $238,000 includes launch expenses and equipment which needs careful scrutiny. We look at revenues generated from selling 8,000 units at $36 each to estimate total cash inflow. The aim is to ensure that these inflows surpass overall costs to achieve profitability.

The core components of this analysis consist of calculating gross revenue, assessing overall costs, and inferring potential profit outcomes based on these figures. The decision to invest in this new project will likely hinge on net cash flow figures derived from these computations. This approach highlights the importance of continuously analyzing data year over year to accommodate changing market conditions and cost dynamics.
Cost Management
Effective Cost Management is crucial for sustaining profitability in any venture. In the garden tool project, costs are divided into various categories. By analyzing direct labor, direct materials, and both types of factory overheads, Green Thumb Inc. can identify areas where expenses can be curtailed.

Working with the aggregation of costs per unit helps the business calculate total manufacturing costs. Additionally, understanding variable elements, like selling expenses set at 5% of sales, allows the company to manage operational costs in alignment with sales performance. By ensuring precise management of these costs, businesses can safeguard profit margins, especially when scaling production or entering different market segments.
Depreciation Calculation
Depreciation Calculation helps in spreading the cost of tangible assets like equipment over their useful life, impacting financial statements. For the equipment in this case, purchased at $184,000 with a life span of 15 years and a residual value of $10,000, depreciation becomes a significant non-cash expense.

Through calculating depreciation, businesses can better understand asset value loss over time, subsequently influencing the net income figures reported. It's crucial to note that while depreciation is accounted as an expense, it doesn’t directly affect cash flow since it's a non-cash item. Instead, it helps in tax computation, thereby indirectly influencing net cash outcomes. Capitalizing on the residual value at the project's end can recover some funds, making depreciation a significant factor in long-term investment profitability.