The right answer is b. The output units sold totaled 8,000. The sales revenue reached $9,600,000. Variable costs stand at $6,000,000, with fixed costs amounting to $2,600,000. The product's price is $1,200. Average variable cost calculates to $750. Profit calculation results in TR - TC, hence Profit = $1,270,000 = $1,200Q - $750Q - $2,600,000. Resulting in $3,870,000 = $450Q, thus Q is 8,600 units.
The donation of 5% of Target's annual revenue towards community initiatives exemplifies social responsibility.
This concept of social responsibility involves ethical obligations and civic duty. Through these contributions, Target enhances societal well-being while balancing its growth with community welfare.
a. Determine the initial investment tied to replacing the current grinder with the new one.
Initial investment = cost of the new grinder + installation costs of the new grinder - after-tax revenue from selling the old grinder + increase in net working capital.
Cost of the new grinder = $105,000.
Cost to install the new grinder = $5,000.
After-tax revenue from the old grinder = $70,000 - ($70,000 - {$60,000 x (1 - 52%)] x 40%} = $70,000 - $16,480 = $53,520.
Increase in net working capital = $40,000 + $30,000 - $58,000 = $12,000.
Thus, initial investment = $105,000 + $5,000 - $53,520 + $12,000 = $68,480.
b. Assess the incremental operating cash inflows related to the new grinder installation. (Remember to factor in depreciation in year 6.)
New grinder cash flows:
Year 1 = [($43,000 - $22,000) x (1 - 40%)] + $22,000 = $34,600.
Year 2 = [($43,000 - $35,200) x (1 - 40%)] + $35,200 = $39,880.
Year 3 = [($43,000 - $21,120) x (1 - 40%)] + $21,120 = $34,248.
Year 4 = [($43,000 - $12,672) x (1 - 40%)] + $12,672 = $30,868.80.
Year 5 = [($43,000 - $12,672) x (1 - 40%)] + $12,672 + $18,000 (NWC) + $19,934.40 (after-tax salvage value) = $68,803.20.
Old grinder cash flows:
Year 1 = [($26,000 - $11,520) x (1 - 40%)] + $11,520 = $20,208.
Year 2 = [($24,000 - $6,912) x (1 - 40%)] + $6,912 = $15,964.80.
Year 3 = [($22,000 - $6,912) x (1 - 40%)] + $6,912 = $15,964.80.
Year 4 = [($20,000 - $3,456) x (1 - 40%)] + $3,456 = $13,382.40.
Year 5 = $18,000 x (1 - 40%) = $10,800.
Incremental cash flows:
Year 1 = $34,600 - $20,208 = $14,392.
Year 2 = $39,880 - $15,964.80 = $23,915.20.
Year 3 = $34,248 - $15,964.80 = $18,283.20.
Year 4 = $30,868.80 - $13,382.40 = $17,486.40.
Year 5 = $68,803.20 - $10,800 = $58,003.20.
c. Determine the expected terminal cash flow at the end of year 5 from the grinder replacement.
Terminal cash flow = regaining net working capital + after-tax salvage value = $18,000 + $19,934.40 = $37,934.40.
d. Show a timeline displaying the relevant cash flows for the proposed grinder replacement decision.
Year 0 = -$68,480.
Year 1 = $34,600.
Year 2 = $39,880.
Year 3 = $34,248.
Year 4 = $30,868.80.
Year 5 = $68,803.20.
Although I can't create a graph in this dialog box, I will describe the long-run equilibrium for Transnet. In economics, long-run equilibrium is concerned with the timeframe during which resources are still obtainable, as well as the associated costs and production volumes.
