California Microchips pays all sales representatives $5\%$ commission on the first $$35000$ of their individual sales and $8\%$ commission on their individual sales in excess of $$35000.$ Assume that Patricia Patterson sold merchandise valued at $$30000$ during the month of August.

Calculate the following amounts.

$($a$)$ Commission on sales in the sales base:

$($b$)$ Commission on additional sales:

$($c$)$ Gross pay: