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Solaris is the sole supplier of solar panels in Sunnylandia. Solaris has no xed costs and can supply solar panels at a constant marginal cost MC of $1 0 per panel. There are two djferent categories of customers of solar energy, business and residential. The businesses' demand for solar panels is QB(P) = 240 3P. The residential demand for solar panels is QR(P) = 80 5P. Business market (B) (45 points) a) b) d) Calculate the prot maximizing price P'and number of panels 0% that Solaris will choose to sell to business clients, as well as the rm's prot Try. (10 points) Use a diagram to illustrate the producer surplus PS5 that Solaris enjoys, the consumer surplus of the businesses CS3, and the deadweight loss DWLR in the business market. Then, compute CS3 and DWLB. (10 points) Tax per unit (TU): The government decides to tax Satan's at $2 per panel sold. Find the new optimal price P'T'u and quantity 0% that Solaris chooses, and compute its prot MM\". Finally, compute the tax revenue mm. (10 points) Lump sum tax (ZS): Instead of a tax per unit, the government imhposes a lump tax of $204 on Solar-is. Find the new optimal price PLM5 and quantity QLs that Solaris chooses, and compute its prot nil; in this case. (9 points) Suppose that the government is looking to tax Salaris to raise revenue for upgrading the power grid, and hires you to advise which one of the taxes above a tax per unit or a lump sum to implement: which one of the two taxes would you recommend? Explain why. (6 points)