1. Present worths of savings = -20000 + (76000 - 51000)*(P/F, 13%,1) + (76000 - 50000)*(P/A, 13%,4)*(P/F, 13%,1)
= -20000 + 25000*(P/F, 13%,1) + 26000 *(P/A, 13%,4)*(P/F, 13%,1)
= -20000 + 25000*0.884956 + 26000 *2.974471*0.884956
= 70563.07 ~ 70563
2.
Let cost decrease by A per year from EOY 5 to EOY 15, then
84000 + 58000 * (P/A, 12%,4) = A *(P/A, 12%,11) * (P/F,12%,4)
84000 + 58000 * 3.037349 = A *5.937699 * 0.635518
A = 260166.24 / 3.773515 = 68945.33 ~ 68945
Pls comment if you think final solution is wrong or you require further explanation
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