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Hi Ahlashi!
Here, a subsidy is given to the consumers for their benefit, i.e to reduce the price at which they buy apples. (Think of an LPG subsidy)
Thus, ps=pd+3 , using this,
S=10+4(pd+3) and D=100-6pd
Equating both of them, Pd= 7.8 and thus ps= 10.8, q=53.2
Since the government pays the subsidy from its budget, at this quantity, the expenditure is 53.2*3= 159.6.
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