1. The demand and supply equations of a good are given by 4P = -Qd + 240, 5P Qs + 30. Detemine the equilibrium price and quantity. (p = 30, q = 120) %3D 2. The demand and supply functions of a good are given by P = -Qd + 125, 2P = 3Qs + 30. Determine the equilibrium price and quantity. Determine ako the effect on the market equilibrium if the govemment decides to impose a fixed tax of GHC5 on each good Who pays the tax? (p = 81, q = 44, then p = 83, q = 42) 3. If fixed costs are 18, variable costs per unit are 4, and the demand function is P = 24 - 2Q. Obtain an expression for t in terms of Q and hence sketch a graph of 7 against Q. a) For what values of Q does the fim break even? (q = 1 or 9) b) What is the ma ximum profi? (n = 32 at q = 5) 4. Given the supply and de mand functions

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.