Need HELP with the following questions. I'm a bit hurry. Thanks!

(*please don't round the intermediate values, rounded to 2 decimal places)

There's a firm faces two groups of customers in a market. The firm charges customers both aper-unit price(P) and a membership fee(F). The fixed costs of this firm are negligible and its marginal costs are equal to $5.

Group 1 has 40 members and a direct demand of Q₁P₁=1332P₁.

Group 2 has 60 members and a direct demand of Q₂P₂=1062P₂.

1.IF the firm is able to pricediscriminate, calculate theper-unit price(P) and membership fee(F) charged to each customer group. And then find thefirm's profits.

• Group 1. Per-unit price: ? Membershipfee: ?
• Group 2. Per-unit price? Membershipfee: ?
• Profits: ?

2.Then there's a law is passed that prevents the firm from price discriminating. What are theprofit-maximizing per-unit price and membership fee if they are based on the preferences of the consumers in Group2? :

• Per-unit price: ?
• Membershipfee: ?