You are the brand manager for Dove soap and you have to allocate your marketing budget across three different types marketing programs (say A, B, C)....

You are the brand manager for Dove soap and you have to allocate your marketing budget across three different types marketing programs (say A, B, C). If the elasticity of market share with respect to investment in program A is twice that of investments in Program B and the elasticity of market share to investments in Program B and C are the same, what fraction total marketing dollars should be allocated to marketing program 'A'.