SendBad company works in last$-$mile deliveries. It aims at delivering packages around $5$ pm$.$ If ashipment is late by $1$ hour, the company compensates customers in the form of $$10$ rebate. ATaguchi loss function in the form of k$($y m$)2$ is used in order to deter the company frommissing the target time. If y$,$ the actual delivery time, is smaller than the target m$,$ the companyis overzealous and, although this makes customers happy, it adds an unnecessaryburden$/$cost for the company. If y is larger than m$,$ the delivery is late and the functionmeasures a penalty for the customer dissatisfaction.On the other hand, the company estimates the cost of its delivery process as a linear functionas follows: Designing the delivery process to meet the $5$ pm time target results in a cost of $$25$ perdelivery. But this cost decreases linearly, and can be stated as $256($y$-$m$),$ where m is the targettime and y m measures the deviation from the target time.The two functions put together yield a total cost of: TC $=$ k$($y m$)2+256($y$-$m$)1.$ Determine the value of k$,$ whereby you measure the deviation in $($y m$)$ in hours$\mathrm{.}2.$ What cost does the company incur per delivery if it sticks to its target $(5$ pm$),$ i$.$e$.$ it isneither ahead nor late$\mathrm{.}3.$ What is the cost in the function TC above if the company delivered packages at $4$ pm$,$i$.$e$.$ one hour ahead of its original target$\mathrm{.}4.$ What is an ideal deviation from the original target $(5$ pm$)$ that the company shouldconsider$\mathrm{.}5.$ What is the total cost, if the company performed with this ideal deviation that youcomputed in Question $4.$