A winery produce x thousand bottles of premium wine when the price for each bottle is S(x)=1.4x^2-50x+1480 The monthly demand for the bottles of wine is related to the price by D(x)=-x^2+34.8x+1928 A...

A winery produce x thousand bottles of premium wine when the price for each bottle is S(x)=1.4x^2-50x+1480 The monthly demand for the bottles of wine is related to the price by D(x)=-x^2+34.8x+1928

A Find the consumer surplus and producer surplus when the market is at equilibrium.

B Find the change in consumer and producer surplus when the price increases by $20. Explain what happened. (Hint because it is a price increase and consumers will buy less use the demand equation to find the new quantity in the market.

Please answer all parts.