Cap Stone Sdn$.$ Bhd$.($CSSB$)$ is a manufacturer of tiles and mosaic. CSSB anticipates a projecting growth ni sales to RM$500,000$ over the next four years. Therefore, CSSB is planning to purchase of a new equipment with an estimated cost of RM$1,200,000.$ And an additional cost on shipping and installation wil be RM$20,000$ and RM$45,000,$ respectively need ot be included. The new machine wil have a $4-$year useful life and wil be depreciated to zero using the straight$-$line method.The production cost is expected to increase to RM$20,000$ every year. However, there will be a saving of RM$20,000$ per year on labour expenses. CSSB expects an increase in inventories to RM$220,000$ and accounts payable to RM$170,000.$ The change in Net Operating Working Capital is expected to be fully recovered at year $4.$ The machine is expected to have a disposal value of RM$30,000.$ CSSB uses $13\%$ discount rate for capital budgeting purposes and the firm's income tax rate is $40\%.$

a$.$ Calculate the project's initial outlay

b$.$ Determine the Net Present Value NPV of the proposed project

c$.$ Explain whether CSSB should proceed with the project or not

d$.$ Determine the payback period.e$.$ Determine the discounted payback period.