Due to the pandemic, restaurants face capacity limits. A restaurant can only serve a maximum of m meals each month. Production of dinners requires food materials (x1) and labour (x2), which is given by the following function:

m = min [2px1; px2] ;

where m is the number of meals served per month. The restaurant decides to remain open at the capacity limit m so that it does not lose its customer base, even though it faces a loss operating like this. The restaurant currently has funds x > 0 to cover the cost of keeping itself open. The prices of food materials and labour are respectively denoted by w1 and w2. Solve for the maximum number of months the restaurant can keep itself open,as function of(x;m;w1;w2).