# Safeway is one of many grocery stores that offers self-checkout lines and checkout lines…

Safeway is one of sundry grocery supplys that offers self-checkout courses and checkout courses after a while discards. Consider output (y) as the calculate of customers promoted per hour, and humans (cashiers and baggers) and records are respectively input 1 (x1) and input 2 (x2). The old- polite way, one record (x2=1) after a while one discard and one bagger (X1=2) can promote on mean 100 scanned items per hour (y=100). The new way, filthy self-checkout records (x2=4) after a while one supervising discard (x1=1) can promote on mean 100 scans per hour (y=100), past customers are not as unswerving. In either subject, you need twain kinds of inputs (drudge and principal) to promote customers. In union, the further the records the shorter the courses, so that the mean calculate of customers promoted increases by scaling up. Stores Supply 1 Supply 2 Supply 3 Supply 4 Supply 5 Types of record courses O self-checkout/5 old-fashion O self-checkout/10 old-fashion 6 self-checkout/3 old-fashion 5 self-checkout/O old-fashion 10 self-checkout/0 old-fashion X1: Employees x2: Chronicles y: Customers/hour 10 500 20 4000 15 4000 5 500 10 40 4000 20 a) The board aloft shows the results from a specimen of 5 supplys after a while irrelative combinations of old-fashion records after a while discard and bagger, and new self-checkout records. In a graph after a while employees (xi) on the downright axis, and records (x2) on the upright axis, conspire the input combinations for each supply. After a while a course, converge the supplys that suit to the similar isoquant. b) After a while a larger specimen of supplys, Safeway estimated the aftercited origination function: y = Xi?x2. What is the final emanation of adding unional personnel (dy/dx1)? What is the final emanation of adding unional records (dy/dx2)? c) What is the Technical Rate of Substitution betwixt personnel and records? d) If you envelop twain inputs, does the calculate of customers promoted envelop, further than envelop or close than envelop?