[求助]帮忙看一个供求曲线 弹性的题目 做得对不对

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线性 的需求和供应曲线 均衡点P=5 Q=1000 需求曲线弹性为-0.5 供给曲线弹性是1， 求供求曲线方程 <br/><br/>当价格降低到P=1， Q=2000时 弹性不变 求供求方程 并画图 说明变化 <br/><br/>The current equilibrium price in the market for gourmet chocolate is $5 per block. At this price, 1,000 blocks are sold. The price elasticity of demand is -.5 and the price elasticity of supply is 1 at the current price. <br/><br/>a) Solve for the equations of demand and supply, assuming that they are both <br/>linear <br/>## <br/>Assume the equations of demand and supply, <br/>Qd=a-bP <br/>Qs=c+dP <br/><br/>∑d=-0.5, <br/><br/>∵ ∑d=-b•P/Qd <br/>∴ -b•P/Qd = -b•5/1,000 =-0.5 <br/>b=100 <br/><br/>∴Qd=a-100P <br/><br/>ηs= 1, <br/><br/>∵ ηs= d•P/Qs <br/>∴ d•P/Qs = d•5/1,000 = 1 <br/>d=200 <br/><br/>∴Qs=c+200P <br/><br/>At the equilibrium, P=5, Q=1,000 , <br/>Qd: 1,000=a-500 <br/>a=1500 <br/>Qd=1500-100P <br/><br/>Qs: 1,000=c+1000 <br/>c=0 <br/>Qs=200p <br/><br/>The equations of demand and supply: <br/>Qd=1500-100P <br/>Qs=200p <br/>b) Assume that the equilibrium price decreases to $1 and, at this price 2,000 <br/>blocks are sold. The price elasticities remain -0.5 for demand and 1 for <br/>supply. With the aid of a diagram explain what has happened to the supply <br/>and demand curves. <br/>## <br/>Same as above, <br/><br/>Assume the equations of demand and supply, <br/>Qd=a-bP <br/>Qs=c+dP <br/><br/>∑d=-0.5,ηs= 1, <br/><br/>∑d=-b•P/Qd = -b•1/2,000 =-0.5 <br/>b=1000 <br/><br/>ηs= d•P/Qs = d•1/2,000 = 1 <br/>d=2000 <br/><br/>Qd=a-1000P <br/>Qs=c+2000P <br/><br/>∵P=1 Q=2,000 <br/>∴a=3000, <br/>c=0 <br/><br/>∴ Qd=3000-1000P <br/>Qs=2000P <br/>

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关键词：供求曲线 elasticities equilibrium elasticity Equations chocolate current demand market supply

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根据需求的价格弹求出斜率即可。

除了没画图，正确、