Please complete it and upload it to the submission area of eLearning. Please show all the work. Determine the frequency of Paige$$s visits, the amount withdrawn each visit, and the annual costs based on the frequencies below: This is to determine what frequency of days minimizes Paige's costs?$(1$ day, $2$ days, $8$ days, $9$ days and $10$ days$)$ Important Information: a$.$Paige consistently spends $$20$ each day. Therefore, the average cash balance based on withdrawing $$20$ each day is$$$$10\mathrm{.}00=$ $$20\mathrm{.}00/2=$ $$10\mathrm{.}00$b$.$The cost to visit the ATM annually is$$$$182\mathrm{.}50/$ T $($number of days$)*$The above are the same as the calculations in Chapter $11$ PowerPoint.$$The variables for interest and the possibility of cash loss or theft differ from the percentages in the PowerPoint. c$.$The opportunity cost of the interest Paige does not earn because she holds cash equals her average cash balance of $$10$ times the nominal interest rate, which is $6\%$ or $0\mathrm{.}06.$ $$10\mathrm{.}00$ x $0\mathrm{.}06=$ $$0\mathrm{.}60$ So$,$ a daily visit would be $$10\mathrm{.}00$ x $0\mathrm{.}06=$$$0\mathrm{.}60$ Opportunity Cost d$.$The probability of Paige losing the money, either through personal misplacement or theft, is $20\%$ or $0\mathrm{.}20.$ So$,$ a daily visit would be $$10\mathrm{.}00$ x $0\mathrm{.}20=$$$2\mathrm{.}00$ Probability of losing the money or someone stealing it$.$ Please calculate the costs below: Please show all work: $$The amount withdrawn for $(1)$ day is $$20$ with an average holding of $$10\mathrm{.}00$ The amount withdrawn for $(2)$ days is $$40$ with an average holding of $$20\mathrm{.}00$ The amount withdrawn for $(8)$ days is $$160$ with an average holding of $$80\mathrm{.}00$ The amount withdrawn for $(9)$ days is $$180\mathrm{.}00$ with an average holding of $$90\mathrm{.}00$ The amount withdrawn for $(10)$ days is $$200\mathrm{.}00,$ with an average holding of $$100\mathrm{.}001$ day $($show work$)2$ days $($show work$)8$ days $($show work$)9$ days $($show work$)10$ days $($show work$)$What frequency of days minimizes Paige's costs of going to the ATM? $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$