Happydale Derivatives Traders has a portfolio (net position) in derivatives on popularly traded Zackmar common stock. The firms managers have already engaged in strategies which have rendered the portfolio delta neutral, but both gamma and vega exposure remains as depicted in the table below. In addition, the managers have identified two additional options which have the characteristics reported in the table.

	Delta	Gamma	Vega
Portfolio	0	6,000	10,000
Option 1	0.6	0.6	2.0
Option 2	0.5	0.9	1.4

Calculate the additional positions (weights) in a) Option 1, b) Option 2, and c) the underlying asset necessary to make the portfolio delta-neutral, gamma-neutral, vega-neutral,

a. What is the required number of additional units of Option 1?

b. What is the required number of additional units of Option 2?

c. What is the required number of additional units of Zackmar common stock?