let’s say i have a company and i have $10,000 in capital.

my company produces 2 products, call them A and B.

Product A costs $0.80/unit to produce and will sell for $7.00/unit.

Product B costs $0.75/unit to produce and will sell for $8.00/unit.

it has been said that advertising helps in creating demand for the products, and therefore it is a MUST to advertise the products.

$1 spent on advertising Product A will yield 5 demands for the product.

$1 spent on advertising Product B will yield 8 demands for the product.

it is also a condition that 40%-70% of the total production of each year must consist of Product A.

the question is:

how many Product A and Product B should be produced to maximise profit?

how much should be spent on advertising both products each year?

suppose that i have $10,000 in capital to fund the production and advertising of both products for a year.

thx!