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6 Consider a closed economy with no government. Use notation Y income C consumption l investment S saving Assume that consumption is given by C-A+cY andY C+I where A and care both positive and cisless than 1. Which of the following statements IS correct? (a) Suppose thatc-0.75. Suppose that investment increases by 100 because investors become more optimistic. Then income increases by 500 (b) If saving and investment are at thair planned levels and S I then the economy ls In equilibriurn (c) Ic 0.75 then the multipier is 0.75 (d) Il consumers become more willing to consume so c inceases but I and A do not change then income talls.

Please explain mathematically all parts.

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