Prompt Title: Best Contribution for 1400.

Let's start by defining the variables we will use:

• Let's say the number of worker A is "a".
• Let's say the number of worker B is "b".

We want to maximize the total yield contribution subject to the constraints given:

• Total work time combined can't exceed more than 1400 minutes: 5a + 60b <= 1400
• We only have $900 in hand so we cannot exceed that limit either: 5a + 18b <= 900

Our objective function is the total yield contribution, which we want to maximize:

• Total yield contribution = 0.0027a + 0.0175b

We can use linear programming to solve this problem. The first step is to convert the problem into standard form by introducing slack variables:

• 5a + 60b + s1 = 1400
• 5a + 18b + s2 = 900

We can then express the objective function in terms of these variables:

• Total yield contribution = 0.0027a + 0.0175b + 0s1 + 0s2

We can use a linear programming solver to solve this problem. The optimal solution is:

• a = 100
• b = 16
• Total yield contribution = 0.27 + 0.28 = 0.55

Therefore, we need 100 worker A and 16 worker B to get the best total yield contribution we can get, which is 0.55.