81 I1 a3 0 1 0 1 2 1 0 0 -1 1 -½¼/4 0 0 0 -1 1 (b) Is this tableau optimal? Explain your answer. 7 20 10 (a) State the current Basic Feasible Solution (BFS) in terms of the variable values and z-value. (c) Suppose that the LP models a maximisation problem. i. Obtain the entering variable. Explain your answer. ii. Obtain the leaving variable. Explain your answer. iii. Based on your answer in (ii), explicitly identify the type of solution for the LP.

(16) A small manufacturing firm makes two types of boats, a small boat and a large boat. The small requires 10 labor-hours for building and 1 labor-hour for finishing. The large requires 5 labor-hours for building and 1 labor-hour for finishing. The maximum labor-hours available per day for finishing and building are 20 and 140, respectively. Is it feasible to make 7 small boats and 10 large boats? Why or why not? Mathematically justify your answer.

Ma3. 1. (Two-Part Tariff #2 Cr) The Kiwi company (supplier) has introduced a new device called jPad. jPad is sold through Good Buy (retailer). Kiwi produces one jPad at $200 and sells it to Good Buy at $400. Good Buy has estimated that demand for the iPad depends on the retail price (p) according to the demand function: D(p) 2000 - 2p.   With calculus/Excel used, optimal retailer's prices were calculated. (Independent pricing) The optimal retailer's price is $700. (Coordinated pricing) The optimal retailer's price is $600.   In the two-part-tariff, the supplier sets a transfer price of $   A. 200   B. 800   C. 600   D. 700   E. 100   F. 500   G. 300   H. 400