Question $2(18$ points$)$ Zest Ltd$\text{'}$s $2025$ sales $($all on credit$)$ are projected to be $\backslash (\backslash$$ $1,095,000\backslash ).$ The sales projection is based on the company's current credit terms of $\backslash (2/12\backslash ),$ net $30.$ Its current average collection period is $25$ days, with $70$ percent currently taking up the discount. Management is not happy with the projected sales, and has sought ways for improvements. The sales manager has estimated that with terms of $\backslash (3/15\backslash ),$ net $42,2025$ sales would jump to $\backslash (\backslash$$ $1,460,000\backslash )$ and $60$ percent of sales would take the discount. However, the average collection period would increase to $40$ days. Zest will maintain its contribution margin of $7$ percent. Its short$-$term financing cost and long$-$term financing cost are $6$ percent and $10$ percent respectively. Required: In order to assess whether Zest should initiate the change in credit policy, calculate: $1)$ the incremental contribution $[4$ marks$]2)$ the incremental investment in accounts receivable $[6$ marks$]3)$ the overall impact on operating income $[8$ marks$]$