Reconsider the example of choosing the advertising budget for the VRX$2000$ that is presented in Section $1\mathrm{.}4.$ There it was determined that the optimal level of advertising spending was $$135,392$ leading to a profit of $$77,425.$ Now suppose that the selling price, variable cost and$/$or fixed cost can fluctuate as stated below.

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a$.$ Re$-$solve the optimization model for the VRX$2000$ using a variable cost of $$318,$ a selling price of $$400,$ and fixed costs of $$100,000.$ What are the optimal advertising budget and the resulting total profit?

b$.$ Re$-$solve the optimization model for the VRX$2000$ using a variable cost of $$278,$ a selling price of $$400,$ and fixed costs of $$100,000.$ What are the optimal advertising budget and the resulting total profit?

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Required $A$

Re$-$solve the optimization model for the VRX$2000$ using a variable cost of $$318,$ a selling price of $$400,$ and flxed costs of $$100,000.$ What are the optimal advertising budget and the resulting total profit?

Note: Do not round Intermediate calculations. Round your answers to the nearest whole number.

$\backslash$table$[[$Advertising budget,$],[$Total profit,$]]$