There is some controversy among Post Keynesians regarding whether or not an Job Guarantee (JG) program would be inflationary. Under some sets of very reasonable assumptions, it is; under other equally reasonable assumptions, it's not. Let's have a look using the Kaleckian model. First off, say that under our JG, the government hires N_G workers at wage rate W_G. Assuming that these workers, like those in the consumption and investment goods sectors, spend all their money, we get P_CQ_C = W_CN_C + W_IN_I + W_GN_G (instead of P_CQ_C= W_CN_C + W_IN_I). Now derive the Kaleckian price equation (you should still end up with an equation that shows that prices are set by a markup over cost, but it will be more complicated). Does it appear that the JG would be inflationary? Brief answer please.