Can you please answer this.

Question 1 [20 marks] Eskom has 3 electric power plants that supply the needs of 4 cities. Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1 -35 million; plant 2-50 million; plant 3-40 million (see Table 1). The peak power demands in these cities, which occur at the same time (2pm), are as follows (in kwh): city 1-45 million; city 2-20 million; city 3-30 million; city 4-30 million. The costs of sending 1 million kwh of electricity from plant to city depend on the distance the electricity must travel. Formulate an LP to minimize the cost of meeting each city's peak power demand. Fully define your variables. Table 1: Shipping Costs, Supply, and Demand for Powerco To From City 1 City 2 City 3 City 4 Plant 1 $8 $6 $10 $9 Plant 2 $9 $12 $13 $7 Plant 3 $14 $9 $16 $5 Demand 45 20 30 30 (million kwh) Supply (million kwh) $35 $50 340