Calculating %Atom economy in multiple reactions

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    Aackson
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    Sorry Im new to this forum… not sure how to paste a pic.

    The question at the last page in this link. http://www.rsc.org/images/PDF1_tcm18-40521.pdf  
    Its Q4. 
    Calculate the overall percentage atom
    utilization of this synthesis. (Use the combined
    molecular weights of the reactants, not products, for
    your calculation.)

    Here’s my attempt: 
    FW of all atoms utilised= C7H14 (98.186 g•mol?1)
    FW of all the reactants used= CH3Br (94.94 g•mol?1) + PPh3 (262.29 g•mol?1) + PhLi (84.05 g•mol?1) + C6H10O (98.15 g•mol?1) = 539.40 g•mol?1
    % Atom Economy = 98.186/539.40 x 100 = 18.20%

    I’m not sure if im doing it correctly cause the product of one reaction is the next reactant… Got a bit confused here.
    Please check it for me…
    Thanks in advance

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