Solved: Three engineersa civil engineer (CE), an electrical engineer (EE), and a

Chapter 10, Problem 5

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Three engineersa civil engineer (CE), an electrical engineer (EE), and a mechanical engineer (ME)each have a consulting firm. The consulting they do is of a multidisciplinary nature, so they buy a portion of each others services. For each $1 of consulting the CE does, she buys $.10 of the EEs services and $.30 of the MEs services. For each $1 of consulting the EE does, she buys $.20 of the CEs services and $.40 of the MEs services. And for each $1 of consulting the ME does, she buys $.30 of the CEs services and $.40 of the EEs services. In a certain week the CE receives outside consulting orders of $500, the EE receives outside consulting orders of $700, and the ME receives outside consulting orders of $600. What dollar amount of consulting does each engineer perform in that week?

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