A cosmetic company is considering introducing a new lotion. The manufacturing equipment will cost Rs$\mathrm{.}5,60,000.$ The expected life of the equipment is $8$ years. The company is thinking of selling the lotion in a single standard pack of $50$ grams at Rs$.12$ each pack. It is estimated that variable cost per pack would be Rs$.6$ and annual fixed cost Rs$.4,50,000.$ Fixed cost includes $($straight line$)$ depreciation of Rs$.70,000.$ The company expects to sell $1,00,000$ packs of the lotion each year. Assume that tax is $45\%$ and straight$-$line depreciation is allowed for tax purpose.

Answer the following question

a$)$ Evaluate the ways to fund the equipment specifying the financial cost of that sources.

b$)$ Provide break down of the cash flows of the project.

c$)$ Evaluate the proposal with the help of Internal rate of return.

d$)$ Evaluate the proposal with help of payback period for the project and discounted payback period if the cost of funding post tax in $10\%$ p$.$a$.$