I want to know how I can calculate the relative prices in autarky for the following problem:

I am looking for a step by step answer so i can use this approach for other tasks as well.

Consider a small economy producing two goods, clothing and food. The clothing industry uses capital (K) and labor (L0) as inputs, while the food industry uses land (La) and labor (LP) as factors of production. The pro duction technologies for the two industries are given by r E 1 1 QC:K4 Ev; QF:LG2L1. Also, the country is endowed with 50 units of capital, 400 units of la bor, and 70 units of land. Finally, the utility function of the representative 1 1 consumer is given by U(C'0, CF) : 05013. 1. Calculate the autarky production (2 consumption) for the two indus tries. 2. Derive the autarky price ratio, (iiEV, and the real value of production (i.e. real GDP) in autarky