An engineering consultant bids on jobs where he can make $10000 profit. If in a certain month, he has a 20% probability of getting a contract, 30% probability of getting 2 contracts, 40% probability of getting 3 contracts, and 10% probability of getting 4 contracts, what is the consultant’s expected profit for that month?

To calculate the consultant's expected profit, we need to multiply the profit from each possible outcome by its respective probability of occurring and then sum them up.

Let's calculate the profit for each possible outcome:
- If the consultant gets 1 contract, the profit will be $10,000.
- If the consultant gets 2 contracts, the profit will be $10,000 x 2 = $20,000.
- If the consultant gets 3 contracts, the profit will be $10,000 x 3 = $30,000.
- If the consultant gets 4 contracts, the profit will be $10,000 x 4 = $40,000.

Now let's calculate the expected profit:
Expected profit = (Profit from 1 contract x Probability of 1 contract) + (Profit from 2 contracts x Probability of 2 contracts) + (Profit from 3 contracts x Probability of 3 contracts) + (Profit from 4 contracts x Probability of 4 contracts)

Expected profit = ($10,000 x 0.2) + ($20,000 x 0.3) + ($30,000 x 0.4) + ($40,000 x 0.1)

Expected profit = $2,000 + $6,000 + $12,000 + $4,000

Expected profit = $24,000

Therefore, the consultant's expected profit for that month is $24,000.