$($a$)$ Suppose Samsung's computer monitors have a constant marginal cost of production that equals $$100.$ Meanwhile, let's assume that the distributors have constant marginal costs of distribution equal to $$30.$ What is the profit$-$maximizing QUANTITY of computer monitors $($in hundreds$)$ for Samsung to produce?

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$($b$)$ Suppose Samsung has a constant marginal cost of production that equals $$100.$ Meanwhile, let's assume that the distributors have constant marginal costs of distribution equal to $$30.$ What is the profit$-$maximizing WHOLESALE PRICE of computer monitors for Samsung?

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$($c$)$ Suppose Samsung has a constant marginal cost of production that equals $$100.$ Meanwhile, let's assume that the distributors have constant marginal costs of distribution equal to $$30.$ What is Samsung's level of profit if it adopts the profit$-$maximizing quantity and price?

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$($d$)$ Suppose Samsung has a constant marginal cost of production that equals $$100.$ Meanwhile, let's assume that the distributors have constant marginal costs of distribution equal to $$30.$ What is the profit$-$maximizing RETAIL PRICE of computer monitors for the distributors?

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$($e$)$ Suppose Samsung has a constant marginal cost of production that equals $$100.$ Meanwhile, let's assume that the distributors have constant marginal costs of distribution equal to $$30.$ If Samsung merged with a distributor, what would be the profit$-$maximizing RETAIL PRICE of computer monitors for Samsung?