1. In the field of economics, supply and demand are the two basic and important terms to be fully understood. In terms of economics, the forces of supply and demand determine our everyday lives as they set the prices of the goods and services we buy daily. Although, law of supply and demand are introduced separately, it's the combination of the two concepts that determine how much of a good and services is to be produced and consumed in an economy and at what price. These issue can be solve through the concept of equilibrium price and quantity in a market. Suppose the quantity demanded of Good Z ( ) depends upon its price (), monthly income (Y), and the price of a related Good W (). The demand for Good Z () is expressed by the equation= = 150 8 + 2 15. The monthly income (Y) is equal to 60 pesos and the price related to Good W () is equal to 12 pesos. On the other hand, the supply for Good Z ( ) is expressed as = 20 + 2. In general, the condition for equilibrium in a market is that the quantity supplied is equal to the quantity demanded. This equilibrium identity determines the market price P, since quantity supplied and quantity demanded are both functions of price. However, most states impose sales tax on some goods and services as a means of generating revenue. In this event, sales taxes also influence consumer behavior. Now, for instance, suppliers must pay a tax of 6 pesos per unit of Good Z. Determine the following requirements:

a. How much should the consumers pay for any Good Z considering tax in pesos?

b. Due to tax, the quantity diminished by how much in units?

c. How much is the tax revenue for Good Z in pesos?

d. What is the equilibrium price without tax in pesos?