smallCart, an online retailer, estimates its daily demand follows a Normal distribution with

a mean of $2000$ orders and standard deviation $400$ orders. smallCart uses a $3$PL partner

for deliveries and needs to specify the capacity $($in terms of number of orders to deliver per

day$)$ as part the contract. For deliveries up to the contracted capacity, the $3$PL charges $ $10$

per delivery and gets paid for the entire regular capacity irrespective of whether it is used or

not. The $3$PL can also make additional $($surge$)$ delivery capacity if needed by smallCart and

charges a price of $ $15$ for each delivery made using the surge capacity. smallCart estimates

the current margin earned per order to be $ $22.$ How much regular transportation capacity

should smallCart contract with the $3$PL $($rounded up to the closest multiple of $10)?$

A$.1780.$

B$.1830.$

C$.1910.$

D$.2100.$

$3.$ A manufacturer of white goods relies on a large chain of independently owned departmental

stores to sell its washing machines because the retailers$$ salespeople greatly influence consumer

decisions. It is well known that the salesforce at the departmental stores will push products that

provide sufficient sales commission or encourage shoppers to buy the retailer$$s own private$-$label

products. Unfortunately, the manufacturer cannot observe the sales effort of the salespeople.

Even though the manufacturer$$s product is not significantly different from its competitors$$ in

most respects $($including price$),$ average sales have been dipping. Further, the swing in sales

across months, compared to that of competitors selling through the same retail chain, has been