Two shops makes the same kind of garden shed. The preparation time and assembly time (hours) for Shop A is 5 hour and 20 hours respectively to make one
shed while Shop B times are 10 hours and 5 hours. For the two shops combined
the manufacturer can afford to use up to 200 hours for preparation and 240 hour
for assembly for per week. Shop A earns a profit of $300 per shed and Shop B
earns a profit of $400 per shed. How many sheds per week should the
manufacturer make in each shop to maximize profit?