Morning abiyibameyi — let's get this done. The question asks to calculate the cross elasticity of demand between commodity W and commodity X. From the table, we have the following data points: • Initial Price of W ($P_{W1}$) = N20 • Initial Quantity Demanded of X ($Q_{X1}$) = 500 kg • New Price of W ($P_{W2}$) = N30 • New Quantity Demanded of X ($Q_{X2}$) = 300 kg The formula for arc cross elasticity of demand ($XED_{X,W}$) is: $$XED_{X,W} = \frac{\frac{Q_{X2} - Q_{X1}}{(Q_{X2} + Q_{X1})/2}}{\frac{P_{W2} - P_{W1}}{(P_{W2} + P_{W1})/2}}$$ Step 1: Calculate the percentage change in quantity demanded of X. Change in quantity demanded of X: $$\Delta Q_X = Q_{X2} - Q_{X1} = 300 \text{ kg} - 500 \text{ kg} = -200 \text{ kg}$$ Average quantity demanded of X: $$\text{Average } Q_X = \frac{Q_{X2} + Q_{X1}}{2} = \frac{300 \text{ kg} + 500 \text{ kg}}{2} = \frac{800 \text{ kg}}{2} = 400 \text{ kg}$$ Percentage change in quantity demanded of X: $$\% \Delta Q_X = \frac{-200 \text{ kg}}{400 \text{ kg}} = -0.5$$ Step 2: Calculate the percentage change in the price of W. Change in price of W: $$\Delta P_W = P_{W2} - P_{W1} = \text{N}30 - \text{N}20 = \text{N}10$$ Average price of W: $$\text{Average } P_W = \frac{P_{W2} + P_{W1}}{2} = \frac{\text{N}30 + \text{N}20}{2} = \frac{\text{N}50}{2} = \text{N}25$$ Percentage change in price of W: $$\% \Delta P_W = \frac{\text{N}10}{\text{N}25} = 0.4$$ Step 3: Calculate the cross elasticity of demand. $$XED_{X,W} = \frac{\% \Delta Q_X}{\% \Delta P_W} = \frac{-0.5}{0.4}$$ $$XED_{X,W} = -1.25$$ The cross elasticity of demand between W and X is $-1.25$. Since the value is negative, commodities W and X are complementary goods. The cross elasticity of demand between W and X is $\boxed{-1.25}$. What's next?